finding a rational between √4/√9 and √2

Question

1. I got the rational number between √4/√9 and √2 is 31/25 from answer key
2. I want to know the method to obtain this value

Answer 1

sqrt(4)/sqrt(9) = 2/3

2/3 < x < sqrt(2) = 1.414.....

There are infinitely many: 1, 5/4, 6/5, 3/4, 4/5,