Scaling height proportional to width?

Question

I'm trying to figure out something observed in a graphic format I'm trying to re-create for programming (please don't send me to SO, they'll just downvote me and send me back here).

It is this: I have $3$ triangles, all with a height multiplier of $5$. So if my constant number is $25$, the height will be $125$. I have different width multipliers: $5, 3, 2$.

If the width multiplier is $5$, then the height of the triangle remains $125$. But if it is $3$, the height of the triangle becomes $116$ (or thereabouts) - or $93\%$ of $125$. And if the width multiplier is $2$, the height of the triangle becomes $114$ (or $91\%$) of $125$.

This is not any kind of math that I know. It's hard to believe that the program that creates these graphics (where I set the $h$ multiplier and $w$ multiplier) is just using a set of seemingly hard-coded percentages (i.e. if $5$ height multiplier has a width multiplier of $5$, $\text{triangle height} = 25 \times 5$, else if $5$ height multiplier has a width multiplier of $2$, $\text{triangle height} = 25 \times 4.56$).

Sorry if this is not entirely clear. I'm happy to give more examples of other height multiplier ($3$ and $2$) that have the same width multipliers ($2, 3$ and $5$).

Actually, let me provide another. Let's take $2 h$ multiplier and $2 w$ multiplier as an example and say the constant is $25$, so $2 h \times 25 = 50$, right? Yes.

1. Now let's take $2 h$ multiplier and $5 w$ multiplier . Fact: the answer is $72$ (or $144\%$ of $50$). Why?
2. Let's take $2 h$ multiplier and $3 w$ multiplier . Fact: the answer is $56$ (or $112\%$ of $50$). Why?

The constant both examples is the same : $25$. But it doesn't have to be that number, it could be $15$ or $33$ or $1$. The $\%$ values (like $93\%$ for $5\text{-}3$ or $91\%$ for $5\text{-}2$) produced are consistent)

Does anything here make sense? Is this is even math (i.e. not hard-coded values)?

P.S. Tagging as "trig", but I'm not sure if it is. P.P.S. The issue I'm trying to solve for is (B) on https://msdn.microsoft.com/en-us/library/ff535489(v=office.12).aspx. Just FYI.

---

EDIT: I input 5 and

• ...5. Output: 100%
• ...3. Output: 93%
• ...2. Output: 91%

I input 3 and

• 5. Output: 117%
• 3. Output: 100%
• 2. Output: 93%

I input 2 and...

• ...5. Output: 144%
• ...3. Output: 112%
• ...2. Output: 100%

How is the output created based on the two input values? Is it math?

---

EDIT #2: I have some more data with a slightly different set of numbers. Hoping someone here can see a pattern they recognize.

I input 4.5 and...

• ...5. Output: 120%
• ...3.5. Output: 139%
• ...2.5. Output: 168%

I input 3 and...

• ...5. Output: 135%
• ...3.5. Output: 149%
• ...2.5. Output: 175%

I input 2 and...

• ...5. Output: 164%
• ...3.5. Output: 169%
• ...2.5. Output: 187%

Answer 1

Okay, it seems we have a function $f(y,x)=z$ where $x,y$ are numbers in $\{2,3,5\}$ and $z$ is written as a percentage. From the example data, it appears that $f(y,y)=100\%.$ It also appears that the function $f$ is monotonically increasing in one variable and decreasing in the other. With just this limited amount of data, you might as well use a lookup table. If there were hundreds of cases, then you might have to be more creative. That is all the advice I have now.