Proportion Solver
How It Works
This proportion solver uses established formulas to provide accurate results.
The basic rule:
- a/b = c/x → x = (b × c) / a
- Cross multiplication: a × x = b × c
Results are estimates. Consult a professional for critical decisions.
Frequently Asked Questions
What is a proportion?
A proportion is an equation that states two ratios are equal. For example, 3/4 = 6/8 is a proportion. Proportions are used to find unknown values when two ratios are known to be equivalent.
How do you solve a proportion using cross-multiplication?
For a/b = c/x, cross-multiply to get a×x = b×c, then solve for x by dividing both sides by a: x = (b×c)/a.
When do you use proportions?
Proportions are used in scaling recipes, map reading, unit conversions, similar figures in geometry, and any situation where you need to maintain the same ratio while changing quantities.
How do you check if a proportion is true?
Cross-multiply both sides. If the products are equal, the proportion is true. For example, 2/3 = 4/6: 2×6 = 12 and 3×4 = 12, so it is a true proportion.