Ratios and Proportions: From Cooking to Mixing Concrete

Ratios scale recipes, mortar mixes and chemistry equally well. The math is simple, the applications are everywhere.

Calculators do the heavy lifting, but knowing what is going on underneath is what saves you money — or stress — later. Ratios scale recipes, mortar mixes and chemistry equally well. The math is simple, the applications are everywhere.

Reading a ratio

1:2:3 means parts. A 1:2 mix of A:B for 6 units total = 2 A + 4 B.

Scaling up or down

Cooking for 4 instead of 6? Multiply each ingredient by 4/6 = 2/3.

Cross-multiplication for proportions

If a/b = c/d, then a × d = b × c. Solves missing-value questions instantly.

Real applications

Concrete (1:2:4 cement:sand:gravel), screen aspect (16:9), gear ratios in vehicles.

Pro tips

  • Always state units alongside ratio. '1:3 sugar to flour' (volume? weight?) makes a real difference.
  • For tax/tip on a bill, treat the percentage as a ratio: 18% tip = 0.18:1 ratio of tip to bill.

Frequently asked questions

How do I split profit by ratio? Sum the parts, divide total by sum, multiply each share. 1:2:1 of $4,000 → 1k, 2k, 1k.

Is golden ratio important in design? Aesthetically, often used at 1:1.618. Mathematically elegant, practically optional.

If you only remember one thing from this post, make it that the inputs matter more than the calculator.

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