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Finding the Third Proportional to 138,957 and 284,466

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Solution

The third proportional to 138,957 and 284,466 is: 582,344.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,957 : 284,466 = 284,466 : x
  2. Step 2: Convert to fraction form
    138,957/284,466 = 284,466/x
  3. Step 3: Cross multiply
    138,957x = 284,466 × 284,466
  4. Step 4: Simplify right side
    138,957x = 80,920,905,156
  5. Step 5: Solve for x
    x = 80,920,905,156/138,957
  6. Step 6: Final answer
    x = 582,344.94

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.