Answer
225 km
Work Step by Step
Setting up a proportion is the first step to solving this problem:
$\frac{\text{distance of the two towns on map}}{\text{actual distance of the two towns}}$= $\frac{\text{1 cm}}{\text{75 km}}$
1 cm : 75 km was already given as the scale, so half of the proportion was immediately filled out.
Now, substitute the given distance of the two towns on the map:
$\frac{\text{3 cm}}{x}$= $\frac{\text{1 cm}}{\text{75 km}}$
Cross Products Property:
3(75)=1$x$
Multiply the left side of the equation and then divide by 1 on each side of the equation:
$\frac{225}{1}$=225
The actual distance between the two towns is 225 km.
