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Finding the Third Proportional to 396,475 and 638,384

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Solution

The third proportional to 396,475 and 638,384 is: 1,027,893.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,475 : 638,384 = 638,384 : x
  2. Step 2: Convert to fraction form
    396,475/638,384 = 638,384/x
  3. Step 3: Cross multiply
    396,475x = 638,384 × 638,384
  4. Step 4: Simplify right side
    396,475x = 407,534,131,456
  5. Step 5: Solve for x
    x = 407,534,131,456/396,475
  6. Step 6: Final answer
    x = 1,027,893.64

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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.