Find the scale of the map if the distance of 14 km corresponds to a segment of 2.8 cm long.

To solve the problem, let’s make a proportion:

2.8 cm = 14 km;

1 cm = x km.

2.8: 1 = 14: x.

To find the unknown extreme term of the proportion, it is necessary to multiply the average terms of the proportion, and then divide their product by the known average term of the proportion.

Then:

x = 1 * 14: 2.8 = 5 (km).

So 1 cm is 5 km.

Since 5 km = 500,000 cm, the scale is 1: 500,000.

Answer: 1: 500,000.