Eccentricity of ellipse e, two focus F1F2, parabola C, take F1 as vertex, F2 as focus, P as focus of two curves, if Pf1: PF2 = e, find E

Eccentricity of ellipse e, two focus F1F2, parabola C, take F1 as vertex, F2 as focus, P as focus of two curves, if Pf1: PF2 = e, find E

Let F 1 coordinate be (- C, 0), F 2 (C, 0)
Then the equation of parabola C is y ^ 2 = 4C (x + C), C > 0,
The Quasilinear equation of parabola C is x = - 3C,
PF1=2c,
PF2=4c,
PF1:PF2=e=2c/4c=1/2.
e=1/2.