Proportion Word Problems

A proportion is an equation that states that two ratios are equal.

Identify the two ratios involved in the problem and set them equal to each other.

The scale is the ratio of a distance on the drawing to the corresponding distance in real life.

The ratio is 45:70, which simplifies to 9:14.

Use the proportion of the scale to set up an equation and solve for the unknown length.

Actual Distance = Distance on Map × Scale Factor.

Multiply 24cm by 8km/cm to get the actual distance of 192km.

The size of the model is a scaled-down version of the actual object, based on a specific ratio.

Set up a proportion based on the ounces and the duration the smaller bottle lasts.

Set up the proportion: 12/16 = 18/x, solving gives x = 24 weeks.