Question

Length B = 3, 5, 8, 13, 21, 34

Width A= 2, 3, 5, 8, 13, 21

B/A = 1.5, 1.6667, 1.6, 1.625, 1.615, 1.619

How do the ratios above compare to the golden ratio?

Answer 1

In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities
The golden ratio by definition is given by
(1 + root (5)) / 2 = 1.6180
Comparing with the ratios given in the problem, we see that the closest to this value is
B / A = 1.619
Or in other words
B / A = 34/21