Step 1:

The vertices are and point is .

Observe vertices and foci, coordinates are equal.

So, the hyperbola has a vertical transverse axis and its standard form of the equation is

.

Where,

is the center.

The distance between center and vertex is .

The distance between center and focus is .

.

Using midpoint formula, the center of the hyperbola is 

The distance between center and vertex is .

The distance between center and focus is

Step 3:

Substitute in standard form of the ellipse equation.

The ellipse equation is

Solution :

The ellipse equation is