Proportion Calculator

Proportion calculator is an online tool that solves two fractions for the variable x. It evaluates the equality between two fractions with cross multiplication.

What are proportions?

Proportion is a statement which tells us that two ratios are equal. The symbol of proportion is ‘::’ and ‘=’.

For example, two ratios are in proportion if they are equal to each other.

Steps to solve proportions

To solve the proportions first set the two proportions/ratios equivalent to each other with the one missing part that is represented by the unknown variable such as “x, y, z”. Follow the below steps to solve the proportions.

• Set the two fractions across the equal sign and place the one variable according to your choice.
• Apply the cross multiplication on both sides of the equal sign by multiplying the numerator of one side with the denominator of the other or vice versa and separating the variables or constant by an equal sign.
• Simply the variable side by multiplying or dividing the coefficient according to the situation with the other side of the equal sign that is attached to the variable.

Alternatively, to verify your answer or overcome by the long process of calculations use our Proportion Calculator which provides answers in seconds with detailed steps.

How to solve proportions?

Solving proportions is easier than you think. Let’s solve a proportion with an example.

Example:

If ratio of pizzas to burgers is 3/5 in a party, how many of burgers will be there if there are total of 15 burgers.

Solution:

Step 1: Construct a proportion using the given values and x.

3/5 = x/15

Step 2: Apply cross multiplication to the above equation.

5x = 3 × 15

x = 45/5

x = 9

So, there will be 9 pizzas with 15 burgers.

Use proportion solver above to solve fractions.

Frequently Asked Questions 

What is the proportion?

A proportion is a relation or equation that compares two different ratios and tells how the two ratios are equal to each other. For example: if the total class size is 100, with 20 boys and 80 girls, then the proportion of boys is 20/100 which is 20% while the proportion of girls is 80/100 which equals 80%.

Is proportion a type of ratio?

Yes, proportion is the type of because both are used in the intent of the comparison of fractions of numbers or quantities. A ratio is the comparison of two numbers or quantities while proportion is the comparison of the two ratios.

What are the types of Proportion?

There are three types of proportions such as direct proportion, inverse proportion, and Continuous proportion.

• Direct proportion is the proportion of the two ratios in which the values of one side ratio increase if the value of the other also increases, and vice versa.
• Inverse proportion is the comparison of two ratios in which the denominator of one ratio decreases then the numerator of the other increases, and vice versa. For example, as one doubles, the other one halves.
• Continuous proportion is the comparison of ratios, if the consequent and antecedent of two ratios are not the same then multiply the term that converted the ratios into the continued proportion.