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Finding the Third Proportional to 290,478 and 625,452

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Solution

The third proportional to 290,478 and 625,452 is: 1,346,711.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,478 : 625,452 = 625,452 : x
  2. Step 2: Convert to fraction form
    290,478/625,452 = 625,452/x
  3. Step 3: Cross multiply
    290,478x = 625,452 × 625,452
  4. Step 4: Simplify right side
    290,478x = 391,190,204,304
  5. Step 5: Solve for x
    x = 391,190,204,304/290,478
  6. Step 6: Final answer
    x = 1,346,711.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.