From the way I understand your desire, you would add a field called "RequestorID" to the Projects table in the Task management template.
You would then form a relationship between Projects::RequestorID [=] Contact Management::ContactID
This will get a little more complicated than first glance since you'll want to then create a value list based on ContactManagement::ContactID showing values from ContactManagement::FullName so that you can select the person, but input the ContactID# into the field.
Attach this value list to the "RequestorID" field on your Project layout as a dropdown list. Doing this will make it easier to select the correct name, yet end up with the ID# in the field. Once the ID# is in the RequestorID field, your data will then be linked.
Let me know how you progress...(I hope I wasn't confusing...)