Proporção Analítica (Ratio) — Calculadora Online Grátis
Simplify ratios, find missing values, and scale recipes or mixtures
The Ratio Calculator simplifies ratios to their lowest terms, solves for missing values in proportional relationships, and scales up or down by any multiplier. It's practical for recipe scaling, mixing solutions to a specific concentration, calculating map scales, and checking proportions in geometry. Enter any two or three values and the missing quantity is computed automatically.
Frequently Asked Questions
Sobre Esta Calculadora
A ratio expresses the relative sizes of two or more quantities. Ratios can be written as 3:2, 3/2, or "3 to 2" — all equivalent ways to say the first quantity is 1.5 times the second. Simplifying a ratio means dividing both parts by their GCF, much like simplifying a fraction.
This calculator handles ratio simplification, proportional scaling (if you know one value and the ratio, find the other), and unit-rate conversion (expressing as 1:n for comparison). The missing-value mode is especially useful for cooking, chemistry, and construction where you need to scale a known proportion to a new quantity.
Ratios appear throughout mathematics and science: aspect ratios in screen design, gear ratios in mechanics, concentration ratios in chemistry, odds ratios in statistics, and golden ratio applications in art and architecture.
Descubra partes da conta sem ter uma proporção desequilibrada nas misturas quando necessitar resolver equações algébricas no cálculo proporcional a toda prova.
Exemplo Resolvido
Scaling a recipe: ratio of flour to water is 3:2, need 750g flour — how much water?
Entradas:
- Ratio: 3 : 2
- Known value: 750 g flour (first quantity)
Passo a Passo:
- Set up proportion: 3/2 = 750/x
- Cross-multiply: 3x = 750 × 2 = 1500
- Solve: x = 1500/3 = 500 g
- Verify simplified ratio: 750:500 → divide both by 250 → 3:2 ✓