Question

Write the extreme and middle terms of 5 : 80 :: 4 :64

Answer 1

The extremes are 5 and 64.

The middle terms are 80 and 4.

Explanation:

Given the proportion:

5 : 80 :: 4 :64

To find:

The extreme and middle terms of the given proportion.

Solution:

The given statement is in proportion if and only if the product of extremes i.e. the numbers at both the ends is equal to the product of middle numbers.

OR

First number
`*` Fourth number = Second number
`*` Third number

First of all, let us check the two products.

5
`*` 64 = 320

And the second product:

80
`*` 4 = 320

The product is same therefore, the given numbers are in proportion.

The extreme terms are the first and the fourth numbers.

i.e. The extremes are 5 and 64.

The middle terms are 80 and 4.