Ratio & Proportion Calculators
Simplify ratios of 2 or 3 numbers and solve proportional equations (a:b = c:x) with cross-multiplication proofs and split bar diagrams.
Ratio Calculator
Simplify 2-term and 3-term ratios to lowest whole-number integers with step-by-step decimal scaling and greatest common divisor proofs.
Proportion Calculator
Solve proportional equations (A/B = C/D) for any missing variable with step-by-step cross-multiplication and verification.
Ratio Splitter Calculator
Divide any total sum or amount into proportional shares according to a 2-part or multi-part ratio.
Understanding Ratios and Proportions
Ratios compare quantitative relationships between two or more values of the same unit, while proportions establish that two ratios are mathematically equal. Whether establishing video monitor aspect ratios (such as 16:9), scaling culinary recipes, mixing construction aggregates, or calculating medical dosages, proportional mathematics forms the bedrock of real-world scaling.
Our suite provides multi-term ratio simplification (scaling decimals to whole integers automatically) and algebraic proportion solving via cross-multiplication for any missing variable.
Comprehensive Ratios Guide
Explore our deep dive explaining the foundational differences between part-to-part ratios, part-to-whole ratios, and cross-multiplication solving techniques.
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