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Finding the Third Proportional to 138,612 and 214,542

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Solution

The third proportional to 138,612 and 214,542 is: 332,065.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,612 : 214,542 = 214,542 : x
  2. Step 2: Convert to fraction form
    138,612/214,542 = 214,542/x
  3. Step 3: Cross multiply
    138,612x = 214,542 × 214,542
  4. Step 4: Simplify right side
    138,612x = 46,028,269,764
  5. Step 5: Solve for x
    x = 46,028,269,764/138,612
  6. Step 6: Final answer
    x = 332,065.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.