MHB Percentage between two numbers

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To find a percentage between two numbers, the formula \(x_p = x_1 + p(x_2 - x_1)\) can be used, where \(p\) represents the desired percentage in decimal form. For example, to find 75% between 124.464 and 124.444, substituting the values gives the result of 124.459. This method allows for calculating any percentage, including 40% or 60%, by adjusting the value of \(p\). The discussion highlights the simplicity and effectiveness of this formula for determining specific points between two numbers. Overall, this approach provides a clear solution for calculating percentages between two lines.
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Hey, So I need to know what number is 75% between 2 lines? Line 1 = 124.464 and Line 2 = 124.444. Currently I use
Line 1 + Line 2 / 2 = 50% or (124.454) Then (124.454 + Line 1) / 2 = 75% or (124.459). Is there a easier or better way to get these results, cause this formula can't get percents like 60% or 40%.
PS: Wasn't sure what topic to put this under, first time here.
Thank you for your time and help!
 
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Suppose you have two real numbers \(x_1\) and \(x_2\) with \(x_1<x_2\). And we want to find a third number \(x_p\) that is a part \(p\) (where \(0\le p\le1\)) of the distance from \(x_1\) to \(x_2\). Then I would use:

$$x_p=x_1+p(x_2-x_1)$$

Does that make sense?
 
Yes! Thats exactly what I needed! Thank you so much! I’ve been out of school for too many years now. Haha.
 
I have been insisting to my statistics students that for probabilities, the rule is the number of significant figures is the number of digits past the leading zeros or leading nines. For example to give 4 significant figures for a probability: 0.000001234 and 0.99999991234 are the correct number of decimal places. That way the complementary probability can also be given to the same significant figures ( 0.999998766 and 0.00000008766 respectively). More generally if you have a value that...

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