Question

Mean proportional between 16 and 256 is​

Answer 1

Answer:

Let the number be a and b

∴

√ab = 16

=>ab = 16^2 =256............(i)

Again,

a/b = b/128

=>b^2=128a=128∗256/b ...... ( a=256/b) ......From (i)

=>b^3=128∗256

=>b =32

∴ab=256

=>a=256/b = 256/32 =8

∴a = 8 and b = 32

Answer 2

Explanation:

Let the number be a and b

∴

√ab = 16

=>ab = 16^2 =256............(i)

Again, 

a/b = b/128

=>b^2=128a=128∗256/b ...... ( a=256/b) ......From (i)

=>b^3=128∗256

=>b =32

∴ab=256

=>a=256/b = 256/32 =8

∴a = Let the number be a and b

∴

√ab = 16

=>ab = 16^2 =256............(i)

Again, 

a/b = b/128

=>b^2=128a=128∗256/b ...... ( a=256/b) ......From (i)

=>b^3=128∗256

=>b =32

∴ab=256

=>a=256/b = 256/32 =8

∴a = 8 and b = 32