Question

verify whether 72,24,8 are in continued proportion or not? ​

Answer 1

Answer:

yes

Step-by-step explanation:

24×24=576

72×8 =576

Answer 2

Given :

Numbers 72, 24 and 8

To find :

Verify whether 72, 24, 8 are in continued proportion or not ?

Solution :

Continued proportion

Three numbers are said to be in continued proportion if the ratio between the first and second is equal to ratio of second and third proportion.

a : b = b :c

Here a = 72 , b = 24 , c = 8

72 / 24 = 24 / 8

3 = 3

L. H. S. = R. H.S

Continued proportion

Three numbers are said to be in continued proportion if

Product of extreme = product of means

a x c = b x b

ac = b²

a = 72, b = 24 , c = 8

( 72 x 8 ) = (24 x 24)

576 = 576

Hence 72, 24 ,8 are in continued proportion.