Question

3. Find the third proportional to: x/y+y/x and x/y.​

Answer 1

Answer

For two number a,b the third proportional c is such tha  

b

a

​

=  

c

b

​

 

c=  

a

b  

2

 

​

 

So in the question the third proportional is

=  

y

x

​

+  

x

y

​

 

y  

2

 

x  

2

 

​

 

​

=  

xy

x  

2

+y  

2

 

​

 

y  

2

 

x  

2

 

​

 

​

=  

y  

2

 

x  

2

 

​

.  

x  

2

+y  

2

 

xy

​

=  

y(x  

2

+y  

2

)

x  

3

 

​