Cross Section is what you want. It will allow you to add defining sections for your throat, as opposed to just 2 entity skin...
The issue with what you show, will be, you want your entities to have "EQUAL" segmentation. (You'll want to break/divide your circle to match the little throated piece.
Here are a couple examples. The first zeroed one, is just a default circle and elipse. So just a straight cross section, produces good results.
The second 2, I created you lower throat, that has "6 segments" in it... I divided the arc to 6 then, and got these skins.... (bbcd file attached)
The last thing is when doing these skinning functions, be sure to work with the shift click, instead of just windows select. Do your work so the chain start/end can be in the same place on both entities.
Attachment 418810
If you need more direction, maybe someone else can jump in to show this. I am ill and cant play at a high level right now....