Proportion Calculator

FRACTIONS & RATIOS

Solve a proportion A : B = C : ? for the missing value. Enter the three known terms.

Missing Value
—
The fourth term.

Usage Tip

Scaling a recipe is a proportion: if 2 cups serves 4, then for 6 people solve 2 : 4 = x : 6.

THE MATH
A : B = C : unknown
Cross-multiply: unknown = B × C ÷ A
A proportion states that two ratios are equal. Given three of the four terms, cross-multiplication solves for the missing one.
This is the basis of scaling recipes, maps, and models.
Enter A, B, and C; the calculator solves for the fourth term.
A cannot be zero, since the solution divides by A.
Proportions assume the relationship is linear.
Practical Notes

A proportion says that two ratios are equal, so A is to B as C is to an unknown value. The missing value is found by cross multiplying: multiply B by C and divide by A. If 3 cups of flour make 24 cookies, the same ratio shows that 5 cups would make 40.

Proportions are used for scaling recipes, reading maps and drawings, converting currencies, and working out unit rates. They only work when the relationship is truly proportional, meaning that doubling one quantity doubles the other. Keep the terms in the same order on both sides, and make sure matching terms use the same units. A is also not allowed to be zero.

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The calculators and tools on Formula Factory are provided for general guidance and informational purposes only. Results are estimates based on standard formulas and the values you enter — they do not constitute professional engineering, electrical, or architectural advice. Always verify calculations with a qualified professional before making decisions for any safety-critical, code-compliance, or commercial application. Formula Factory makes no representations or warranties as to the accuracy or completeness of any result, and accepts no liability for errors, omissions, or any outcomes arising from reliance on this information.