Λόγος yx

Aν

$1+{\displaystyle \frac{1}{x}}+{\displaystyle \frac{1}{x^2}}+{\displaystyle \frac{1}{x^3}}+...=2019$

και

${\displaystyle \frac{1}{y}}+{\displaystyle \frac{1}{y^2}}+{\displaystyle \frac{1}{y^3}}+...=2017$

να βρεθεί ο λόγος ${\displaystyle \frac{y}{x}}$.