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Finding the Third Proportional to 396,739 and 604,398

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Solution

The third proportional to 396,739 and 604,398 is: 920,748.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,739 : 604,398 = 604,398 : x
  2. Step 2: Convert to fraction form
    396,739/604,398 = 604,398/x
  3. Step 3: Cross multiply
    396,739x = 604,398 × 604,398
  4. Step 4: Simplify right side
    396,739x = 365,296,942,404
  5. Step 5: Solve for x
    x = 365,296,942,404/396,739
  6. Step 6: Final answer
    x = 920,748.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.