What are proportions directly as weights?

Proportions directly as weights mean some things grow or shrink based on how much they weigh, just like when you mix ingredients in a recipe.

Imagine you're making a batch of cookie dough, and you have two bowls, one with chocolate chips and one with sugar. If you want the cookies to be extra tasty, you might put more chocolate chips than sugar. But if you double the number of chocolate chips but forget to double the sugar, your cookies will be too chewy or not balanced.

This is like proportions directly as weights, the more something weighs (or the more of it you have), the bigger its effect is on the final result. It’s like when you're sharing candy with friends: if you have 3 candies and your friend has 1, you get three times as much as them.

Let's say you and your friend are dividing cookies based on how many candies each of you brought. If you bring twice as many candies, you should also get twice as many cookies, that’s being fair in a proportion directly as weights way!