like button functionality

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SQL

Hello Programmers,
I have one question regarding database. Actually i want to create like functionality in my project. I am giving you a scenario, according to this you can give me suitable suggestions.
Suppose i have multiple products(not fixed, say 1000) show on my website...users can view these products and can like any product(one user can like many products and users also not fixed)
If i have to check which product is liked by which user and which user liked how many products then how i create my database table?

What i am currently doing is:
Product Table : product_id(primary key), product_name
User Table : user_id(primary key), user_name
Like Table : product_id, user_id

I create this Like Table to store values as any user like any products and then i can easily retrieve which user like which product so i am able to achieve my goal and its work fine for small number of records but problem is as records increases it goes too slow for fetching data. So suggest me a good way to do it that doesn't affect its speed.

Thanks.