Today when I consulted a web site having the exchange rates between US dollars and British pounds, I found an interesting relationship. £1 = $1.6131, which is close to 1.619033989…, the golden ratio. This means that Fibonacci numbers can be used to convert between pounds and dollars. This is because ratios between two adjacent Fibonacci numbers converge to 1.619033989, actually (1+
5)/2, which is close to 1.6131. The Fibonacci numbers can be obtained by summing successive numbers:0 + 1 = 1, 1 + 1 = 2, 1 + 2 = 3, 2 + 3 = 5, and so forth, yielding the series 0, 1, 1, 2, 3, 5, 8, 13, 21…, and successive ones are apart from each other by about the golden ratio. Therefore, approximately we can say:
£8 = $13
$55 = £34
£987 = $1,610
and so forth. This makes it easy to remember the exchange rate. The same thing also happens between miles and kilometers; one mile = 1.609344 kilometers. So approximately, 21 kilometers = 13 miles, and 89 kph is 55 mph. It's not too often that you get help from these numbers in figuring out rates.
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