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# Ratio Calculator

The ratio calculator readily finds an equivalent form of the ratios and performs various operations on them including simplifying ratios, making them larger and smaller, with calculations shown.

Enter the three values below to find the fourth value in the ratio A:B = C:D
Enter the four values below to find the fifth and sixth value in the ratio A:B:C = D:E:F

A

:

B

:

C

=

C

:

D

:

E

:

F

Times Larger

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An online ratio calculator helps you to determine identical ratios by giving three out of four parts of two ratios. Also, this ratios calculator works best to find the fifth & sixth parts from the three ratios by giving any four parts. Our ratio solver performs the following seven operations on both two & three ratios. Also, you can try our online proportion calculator that helps you to solve the proportion problems easily with different methods.

## What Is a Ratio?

“Ratio is defined as the comparison of two quantities in mathematics” Our ratio finder finds the exact comparison among numbers to quantify the relationship between them.

## How To Calculate Ratio?

The ratio comprises two parts, the numerator & denominator just the same as the fraction. If we have two ratios and want to calculate the ratio for the missing value in the ratio, simply follow the given steps:

• Write ratios in the form of fractions and put any variable (x or y) in the missing value
• Set the fractions equal to each other
• Now cross-multiply the given ratios to form fractions
• Solve for the missing variable
• Finally, try the ratio calculator to verify your answer

You can get assistance to our online fraction calculator to add, subtract, multiply or divide the two or three fraction. Here we have a manual example to clear the understanding:

## Important Cases:

Our calculator helps you to find results for the following ratio problems:

### Missing Value:

Suppose we have the ratio as:

3:4=5:x

Product of extremes = Product of means

3*x = 4*5

3x = 20

x = 20/3

x = 6.66…

x = 6.67 (Round off)

### Comparison of Ratios:

If you are given two ratios:

3:5 & 5:9

Here we have:

3:5 = 3/5 = 0.6

5:9 = 5/9 = 0.55

Hence proved that:

3:5 > 5:9

### Reducing a Ratio:

Suppose we have the given ratio as:

4:6

To reduce this ratio, we have to find a common factor for both numbers:

4 = 2*2 6 = 2*3

Common Factor = 2

Now we have:

4/2 = 2

6/2 = 3

So the new reduced ratio is 2:3

You can also verify the results by inputting all these values in our ratio calculator.

### Scaling a Ratio:

Consider the same ratio in the above case i.e. 4:6 and increase it by a factor of 6

Here we have:

4*6 = 24

6*6 = 36

The final increased ratio is:

24:36

We encourage you to use our ratio calculator if you’re going to solve the complex ratios of large numbers.

## Working of Online Ratio Calculator:

Our calculator is an accurate tool to simplify & find the unknown value in the ratio. You just have to stick to the following points for calculating ratios:

Inputs:

• First of all, hit the tab to choose how many ratios you want to do the calculations. It is either A: B or A:B:C
• Very next, select the method of calculation from the dropdown of this calculator
• Then, enter the fields according to the selected input parameters
• Tap Calculate

Outputs:

• Missing value (s)
• Simplification of ratio
• Visual representation of the ratio (Pie-chart)

## FAQs:

### What Is The Golden Ratio?

When the two quantities have the same ratio as the ratio of their sum to the larger of the two quantities, then the ratio is termed as golden ratio. For example, the quantities expressed in x & y, then the golden ratio between x & y is (x+y)/x = x/y

## References:

Wikipedia : Definition of ratio and formulas Wikijob.co : How to solve ratios Khanacademy : Ratio & proportion

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