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Finding the Third Proportional to 396,780 and 603,474

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Solution

The third proportional to 396,780 and 603,474 is: 917,840.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,780 : 603,474 = 603,474 : x
  2. Step 2: Convert to fraction form
    396,780/603,474 = 603,474/x
  3. Step 3: Cross multiply
    396,780x = 603,474 × 603,474
  4. Step 4: Simplify right side
    396,780x = 364,180,868,676
  5. Step 5: Solve for x
    x = 364,180,868,676/396,780
  6. Step 6: Final answer
    x = 917,840.79

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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.