Question

Show that 25,35 and 49 are in continued proportion

Answer 1

hey!
here's your answer,
if the nos.are in continued proportion ,then:
25:35::35:49,
25*49=35*35,(product of extremes=product of means)
1225=1225
lhs=rhs
(PROVED)
hope it helps you.....!

Answer 2

Answer:

The proof is shown below

Step-by-step explanation:

we have to show 25,35 and 49 are in continued proportion

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

i.e.  a : b = b : c

If the numbers are in continued proportion then

25:35::35:49,

$25\times 49=35\times 35$

$1225=1225$

LHS=RHS (PROVED)

Hence, 25,35 and 49 are in continued proportion