Question

14. Find two numbers such that the mean
proportional between them is 12 and the third
proportional to them is 96.​

Answer 1

Answer:

6 and 24

Step-by-step explanation:

Let the required no. be 'a' and 'b'

∴ is the mean proportional between a and b

∴a:12=12:b

ab=144.....(1)

96 is third proportional to a and b

a:b=b:96

b

2

=96a....(2)

from 1 & 2, ab=144

⇒a=

b

144

from 2, b

2

=96×

b

144

b

3

=96×144

⇒b=24

∴a=

24

144

=6

∴a=6,b=24