Proportional reasoning helps after a quantity and its unit are defined. Recipe scaling and a planting grid show both its usefulness and its limits.
Scale numeric quantities
The recipe worksheet uses desired servings divided by original servings as its factor. Enter decimals rather than written fractions. Units are preserved; the tool does not convert cups to grams because that requires ingredient-specific density and a defined measurement convention.
Keep process changes separate
Three times the servings does not mean three times the cooking time. Pan depth, heat transfer, leavening and seasoning can behave differently. The download is an ingredient worksheet, not nutritional analysis or a determination of safe cooking and storage conditions.
Count whole grid positions
The planting tool uses whole rows and positions with half-spacing margins at the edges. This differs from dividing total area by a nominal area per plant and rounding once. Choose plant-appropriate spacing and check paths, obstructions and access. The tool does not recommend a species-specific spacing or triangular planting layout.
Worked example
Scroll the table horizontally on small screens to see every column.
| Ingredient | Original | Scaled |
|---|---|---|
| Flour | 250 g | 750 g |
| Water | 150 ml | 450 ml |
| Salt | 5 g | 15 g |
Units stay unchanged. Cooking time and other process details do not automatically scale by three.
Sources and checks
Examples are illustrative and can be checked with the linked tools. Read each tool’s assumptions before applying its result. How we verify methods.