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Finding the Third Proportional to 290,436 and 625,374

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Solution

The third proportional to 290,436 and 625,374 is: 1,346,570.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,436 : 625,374 = 625,374 : x
  2. Step 2: Convert to fraction form
    290,436/625,374 = 625,374/x
  3. Step 3: Cross multiply
    290,436x = 625,374 × 625,374
  4. Step 4: Simplify right side
    290,436x = 391,092,639,876
  5. Step 5: Solve for x
    x = 391,092,639,876/290,436
  6. Step 6: Final answer
    x = 1,346,570.81

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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.