Although there are three variables involved in this correlation analysis, you compute them in the same manner as if there were two variables.
corr metro incmon mxtfood
| metro incmon mxtfood
---------+---------------------------
metro | 1.0000
incmon | 0.3912 1.0000
mxtfood | 0.1347 0.2252 1.0000
You still interpret the results the same way: where a person lives, their monthly income and their monthly food expenditure are all positively correlated. One of the most important things to take from this example is that all three variables are associtated in the same direction, but obviously not in the same causal order.