re: House = (x)household income

That's what we did and it's worked out well.

First house in early 20s was 2.5x and we upgraded a couple years after 1.5x.

Second and current house (mid 20s) was 2.5x and we are currently at 1.5x a few years later.

Now we are ready for that forever home and on pace to buy a 2.5x in 12-14 months. Which should then get to 1.5x in 3-5 years.

We've let our salary arch work in our favor in all these examples. The years at 1.5x have been key for both 1st and current homes. During those years we've been able to payoff student loans, purchase and payoff cars, and save up for down payments.

Every situation is different though, this is just what has worked for us.