uestion 1: ) If x,y and z are in continued proportion, prove that (x+y) (y+z)=x/z Question uestion 1:) If x,y and z are in continued proportion, prove that(x+y)(y+z)=x/z in progress 0 Math Julia 3 weeks 2021-10-04T01:35:29+00:00 2021-10-04T01:35:29+00:00 1 Answer 0 views 0

## Answers ( )

x,y,z are in continued proportion, that is

y

x

=

z

y

………. (1)

then,y

2

=xz

Now,

(y+z)

2

(x+y)

2

=

z

2

(

z

y

+1)

2

y

2

(

y

x

+1)

2

=

z

2

(

y

x

+1)

2

y

2

(

y

x

+1)

2

( from (1)

y

x

=

z

y

)

=

z

2

y

2

=

z

2

xz

=

z

x