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Finding the Third Proportional to 129,406 and 284,876

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Solution

The third proportional to 129,406 and 284,876 is: 627,129.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,406 : 284,876 = 284,876 : x
  2. Step 2: Convert to fraction form
    129,406/284,876 = 284,876/x
  3. Step 3: Cross multiply
    129,406x = 284,876 × 284,876
  4. Step 4: Simplify right side
    129,406x = 81,154,335,376
  5. Step 5: Solve for x
    x = 81,154,335,376/129,406
  6. Step 6: Final answer
    x = 627,129.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.