Hexagonal Teal-ing

The color ratio is the same in the black outlined triangle as the whole diagram, and in the black outlined triangle there are an equivalent of $5$ little congruent triangles that are teal and an equivalent of $4$ little congruent triangles that are orange, so the ratio is $\boxed{5:4}$ .

The largest hexagon is 3 times the size of the parahexa pentagon, so its area should be 3² = 9 times as large of a complete little hexagon. We can see that there are 6 parahexa pentagons, so their total area must be equal to 6 × (5/6) = 5 complete little hexagons with teal colour.

Answer
= Teal area : Orange area
= 5 : 9 – 5
= 5 : 4