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Finding the Third Proportional to 120,230 and 256,542

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Solution

The third proportional to 120,230 and 256,542 is: 547,399.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,230 : 256,542 = 256,542 : x
  2. Step 2: Convert to fraction form
    120,230/256,542 = 256,542/x
  3. Step 3: Cross multiply
    120,230x = 256,542 × 256,542
  4. Step 4: Simplify right side
    120,230x = 65,813,797,764
  5. Step 5: Solve for x
    x = 65,813,797,764/120,230
  6. Step 6: Final answer
    x = 547,399.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.