Proportion Calculator

An online proportion calculator that helps you to solve your proportion problems and determine the missing value in the proportion. Our proportions calculator solve for the unknown value by the following two methods:

• By cross multiplication
• By Proportion

It is important to understand the basic definition, calculations of proportion manually and with calculator. Well, we are going to help you in understanding of all these terms.

Read on!

What is Proportion?

In Mathematics, it is the relationship between the two quantities & two statements should be equal. The results either in fraction or separated by a colon (:), or in decimal or percent. For example, 3/6=1/2 or 3/6:1/2. Also, it can be written as 3:6=1:2. When the two ratios have equal values, then values are also in equal proportion. If you want to display the result in percent, simply use our online percentage calculator which is the best choice for you to get the proportion with 100 as denominator.

How to Solve a Proportion Manually (Step-by-Step):

If you want to know the missing variable in the proportion equation, then simply put the equal sign between them. Find the missing value by cross multiplication. Our proportion calculator generates the result with cross multiplication as well as with the proportion. Here we have manual example for the clarification.

Example:

The equation is given as 8/x = 6/4, solve for the unknown x?

Solution:

By Cross Multiplication:

The equation is;

8/x = 6/4

By cross multiplication,

6x = 8 ×4

x = 8 × 4 / 6

x = 32/6

x = 5.33

By Proportion:

The equation is equal if,

8 / 6 = 1.33

So, it is true that,

x / 4 = 1.33

x = 1.33 × 4

x = 5.33

We urge you to use our free proportion calculator if you are going to solve proportions for large numbers or any decimal numbers.

Values Being Directly or Inversely Related:

If the term is connected the two variables without any further qualification, it is assumed as directly related. For example, c = y/x where c is the proportionality constant in the proportional equations, x & y are variables are directly related to each other.

If the product of two variables equal to a constant k, then the variables are inversely related to each other. The equation is written as, x*y = c. After using this proportional calculator you will be easily tell that whether two parameters are inversely related or directly related.

How to Use the Online Proportion Calculator:

This proportion solver gives the instant & accurate results of your problem, just follow the given instructions:

Inputs:

• Enter the values in the fields and replace the unknown value with any variable x, y or any other.
• Then, hit on calculate button.

Outputs:

The Proportions calculator shows:

• The value of missing variable
• Step-by –step solution of both methods (cross multiplication & proportion)

Frequently Ask Questions (FAQ’s):

What are 3 ways to solve a proportion?

The following are three ways to solve the proportions:

• Vertical
• Horizontal
• Diagonal (Often called cross-product)

What are the types of proportion?

Basically, the two types of proportion exist:

• Direct
• Inverse

Final Words:

In real world, the proportion is used on daily basis by businessmen when dealing with finance. It can help you in increasing the recipe for large crowd of people, increasing or reducing an image to scale or creating the design with certain features etc. When it comes to calculate proportion, simply try the free proportion calculator that helps you to find the missing value in the equation.

References:

From the source of Wikipedia : Understanding of direct & inverse proportion

From the site of mathisfun : Definition of proportion

From the source of math.com : Manual calculations of proportions