Proportion Calculator

Solve a proportion a/b = c/x for the missing value with cross-multiplication.

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Solving proportions

Two ratios are proportional when a/b = c/d. Cross-multiplying gives a·d = b·c, so the missing value d = b·c ÷ a. Example: 3/4 = 9/x → x = 4 × 9 ÷ 3 = 12.

Proportions scale recipes, maps and unit prices. The Spanish and Portuguese editions call this the “regla de tres” / “regra de três”.

Frequently asked questions

What is cross-multiplication?

Multiplying the numerator of each ratio by the denominator of the other: a/b = c/d ⇒ ad = bc.

About this tool

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Last updated
31 Oct 2026

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