Finding the Third Proportional to 509 and 625
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Solution
The third proportional to 509 and 625 is: 767.44
Step by Step Solution
- Step 1: Write the proportion equation
509 : 625 = 625 : x - Step 2: Convert to fraction form
509/625 = 625/x - Step 3: Cross multiply
509x = 625 × 625 - Step 4: Simplify right side
509x = 390,625 - Step 5: Solve for x
x = 390,625/509 - Step 6: Final answer
x = 767.44
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Why These Related Problems?
These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.