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Finding the Third Proportional to 148,612 and 320,552

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Solution

The third proportional to 148,612 and 320,552 is: 691,421.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,612 : 320,552 = 320,552 : x
  2. Step 2: Convert to fraction form
    148,612/320,552 = 320,552/x
  3. Step 3: Cross multiply
    148,612x = 320,552 × 320,552
  4. Step 4: Simplify right side
    148,612x = 102,753,584,704
  5. Step 5: Solve for x
    x = 102,753,584,704/148,612
  6. Step 6: Final answer
    x = 691,421.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.