In a geometric progression, the elements are multiplied by a fixed value.
In this case, the integers (b1, b2, and b3) must add to 28. The factors of 28 are 28, 14, 7, 4, 2, and 1.
We can then try to use these factors to solve our problem. When we do so, we find 4, 8, and 16, the sum of which is 28.
When we put those numbers into the second equation, we get 16, 64, and 256, the sum of which is 336.