Answer :
Hi ,
Third proportion:
_____________
If ' x ' is third proportional of ' a ' and ' b'.
Then ,
a : b = b : x
Therefore ,
x = b ^2 / a --------(1)
According to the given problem,
a = 15 , b = 30 ;
Let third proportional = x
Using equation (1)
x = ( 30 )^2 / 15
x = ( 30 × 30 ) / 15
x = 2 × 30
x = 60
Required third proportional = x = 60
Third proportion:
_____________
If ' x ' is third proportional of ' a ' and ' b'.
Then ,
a : b = b : x
Therefore ,
x = b ^2 / a --------(1)
According to the given problem,
a = 15 , b = 30 ;
Let third proportional = x
Using equation (1)
x = ( 30 )^2 / 15
x = ( 30 × 30 ) / 15
x = 2 × 30
x = 60
Required third proportional = x = 60