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Finding the Third Proportional to 396,468 and 638,374

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Solution

The third proportional to 396,468 and 638,374 is: 1,027,879.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,468 : 638,374 = 638,374 : x
  2. Step 2: Convert to fraction form
    396,468/638,374 = 638,374/x
  3. Step 3: Cross multiply
    396,468x = 638,374 × 638,374
  4. Step 4: Simplify right side
    396,468x = 407,521,363,876
  5. Step 5: Solve for x
    x = 407,521,363,876/396,468
  6. Step 6: Final answer
    x = 1,027,879.59

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.