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Finding the Third Proportional to 396,456 and 603,977

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Solution

The third proportional to 396,456 and 603,977 is: 920,122.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,456 : 603,977 = 603,977 : x
  2. Step 2: Convert to fraction form
    396,456/603,977 = 603,977/x
  3. Step 3: Cross multiply
    396,456x = 603,977 × 603,977
  4. Step 4: Simplify right side
    396,456x = 364,788,216,529
  5. Step 5: Solve for x
    x = 364,788,216,529/396,456
  6. Step 6: Final answer
    x = 920,122.83

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