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Finding the Third Proportional to 131,707 and 284,474

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Solution

The third proportional to 131,707 and 284,474 is: 614,435.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,707 : 284,474 = 284,474 : x
  2. Step 2: Convert to fraction form
    131,707/284,474 = 284,474/x
  3. Step 3: Cross multiply
    131,707x = 284,474 × 284,474
  4. Step 4: Simplify right side
    131,707x = 80,925,456,676
  5. Step 5: Solve for x
    x = 80,925,456,676/131,707
  6. Step 6: Final answer
    x = 614,435.50

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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.