For the equation \( y = 3x + b \) to be proportional, it must pass through the origin (0, 0). This means that when \( x = 0 \), \( y \) should also be equal to 0.
Substituting \( x = 0 \) into the equation:
\[ y = 3(0) + b \implies y = b \]
For the equation to be proportional, we set \( y \) to 0:
\[ 0 = b \]
Thus, the value of \( b \) that would make the equation proportional is:
\[ \boxed{0} \]