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Finding the Third Proportional to 129,928 and 284,156

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Solution

The third proportional to 129,928 and 284,156 is: 621,456.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,928 : 284,156 = 284,156 : x
  2. Step 2: Convert to fraction form
    129,928/284,156 = 284,156/x
  3. Step 3: Cross multiply
    129,928x = 284,156 × 284,156
  4. Step 4: Simplify right side
    129,928x = 80,744,632,336
  5. Step 5: Solve for x
    x = 80,744,632,336/129,928
  6. Step 6: Final answer
    x = 621,456.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.