Rule of Three Calculator

Calculate the missing value in a simple proportion.

Simple proportion

Enter A, B and C. X appears automatically.

as
X

Formula

X = (B × C) / A
A = First Known Value
B = Corresponding Value
C = New Known Value
X = Missing Value

What Is the Rule of Three?

The rule of three is a mathematical method used to solve proportional problems when three values are known and one value is unknown.

How the Rule of Three Works

When two values are proportional to two other values, the missing value can be found using multiplication and division.

The Formula Behind the Calculation

The missing value is calculated by multiplying the corresponding values and dividing by the remaining known value.

Practical Shopping Example

If 2 kilograms of apples cost $6, then 5 kilograms cost $15. The rule of three makes this calculation quick and easy.

Using the Rule of Three for Percentages

Percentage calculations are among the most common applications of proportional reasoning.

Using the Rule of Three in Recipes

Recipes often require ingredient quantities to be scaled up or down while maintaining the same proportions.

Business and Financial Applications

Businesses use proportional calculations for pricing, profit estimates, discounts, commissions and forecasting.

Using This Rule of Three Calculator

Enter the three known values and the calculator instantly determines the missing proportional value.

Domande frequenti

What is the rule of three used for?

The rule of three is used to solve proportional problems when three values are known and one value is unknown.

Can I use the rule of three for percentages?

Yes. Percentage calculations are one of the most common applications of the rule of three.

Can I use the rule of three for recipes?

Yes. It is commonly used to increase or reduce ingredient quantities proportionally.

Is the rule of three useful in everyday life?

Yes. It is frequently used for shopping, cooking, travel, fuel consumption and budgeting.

Can the rule of three be used in business?

Yes. Businesses use proportional calculations for pricing, sales forecasts and cost estimates.

What is a direct proportion?

A direct proportion exists when two values increase or decrease together at the same rate.

What happens if value A is zero?

The calculation cannot be performed because division by zero is mathematically undefined.

Can I use decimals in the calculation?

Yes. Decimal values are fully supported.

Is this calculator suitable for students?

Yes. The rule of three is widely taught in schools and is useful for learning proportional reasoning.

Is this rule of three calculator free?

Yes. You can use this calculator for free directly in your browser.

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