did you know that Fibonacci numbers (where each number is the sum of the previous two) can convert miles to kilometres?

1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, ...

pick any number in the sequence as your miles, and the next number in the sequence approximates the number of kilometres

this works because the ratio of consecutive Fibonacci numbers converges to 1.6180334 (the golden ratio φ), while the number of kilometres in a mile is 1.609344

to see how close this is, consider the approximation compared to the actual kilometres

miles km actual km

1 2 1.61
2 3 3.22
3 5 4.83
5 8 8.05
8 13 12.87
13 21 20.92
21 34 33.79
34 55 54.71
55 89 88.50
89 144 143.20

#math