Question

Find the third proportional of the following.
a) 16 and 36
b) 12 and 18​

Answer 1

Answer:

a)2.20

b)1.5

I hope it is correct

Answer 2

Answer:

81, 27

Step-by-step explanation:

a) Let the third proportional be x.

16 : 36 :: 36: x

Product of means = Product of extremes

$36^{2}$ = 16x

1296 = 16x

x = 1296/ 16 = 81

The third proportional to 16 and 36 is 81.

b) Let the third proportional be x.

12 : 18 :: 18 : x

Product of means = Product of extremes

$18^{2}$ = 12x

324 = 12x

x = 324/12 = 27

The third proportional to 12 and 18 is 27.