Help me to solve a problem with rectangles. I cannot resize rectangles and save proportions.

Help me to solve a problem with rectangles. I cannot resize rectangles and
save proportions.

I have two rectangles with different sizes. I need to resize second
rectangle to fit proportions of a first one.
First rectangle :
w1:350
h1:150
S1:150*350=52500
propotion1:350/150=2,333
Second rectangle:
w2:500
h2:430
S2:500*430=215000
propotion2:500/430=1,16
i need to find w3 and h3 of third rectangle so S1=S2=S3 and proportions
w1/h1=w2/h2=w3/h3 will be same should be 2,3.
But i cannot get it how to do this.
Result of equations should be something near w1=730 h2=300 but this is
quess actually. How to find those w3 and h3?