The long term trend is that the silver-gold ratio is increasing.
In ancient Egypt, the ratio was somewhere around 3:1. "Gold was cheaper than silver in ancient Egypt" is something of an urban myth, but it was much closer to parity than today.
By Roman times, the ratio was around 12:1. Mediaeval and early modern times, it was fixed at around 15:1.
Google "gold silver ratio historic chart" for visual info, but it spiked to 37:1 during WWI, fell back to 17:1 by 1919, hovered around 30:1 for the 1920s, jumped to 75:1 in the 1930s, spiked at 97:1 in WWII, fell back to around 40:1 post-war, declined to as low as 17:1 in 1967, crawled back up to spike at 100:1 in 1991, had some ups and downs between 30:1 and 80:1 until a final spike up to 113:1 at the start of COVID, and now it's buzzing around 80:1 again.
The general historic upwards trend is all about the relative supply and demand of the two metals, and since "demand" for both metals is essentially "we'll take all you can give us", then ultimately it's about supply, and that means mining rates. And in general, ever since Spanish colonial times, the mining rate for silver has vastly outstripped that of gold. Gold is "easier to find" in terms of raw nuggets, which is why the ratio was near-parity in ancient times, but the easy stuff's all gone now, and modern silver mines tend to be more productive (in terms of ounces of metal), and there's more of them.
The actual ratio of abundance of the two elements on the Earth's surface is estimated at around 18:1, so presumably, once we've strip-mined the entire planet, that's about where the price ratio will settle.
Don't say "infinitely" when you mean "very"; otherwise, you'll have no word left when you want to talk about something really infinite. - C. S. Lewis