Let, a = 0.3010010001

And, b = 0.3030030003...

We observe that in the third decimal place a has digit 1 and b has digit 3, therefore a < b . in the third decimal place a has digit 1. so, if we consider rational and irrational numbers

x = 0.302

y = 0.302002000200002.....

We find that

a < x < b

And, a < y < b

Hence, x and y are required rational and irrational numbers respectively.