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Finding the Third Proportional to 138,955.50 and 284,463

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Solution

The third proportional to 138,955.50 and 284,463 is: 582,338.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,955.50 : 284,463 = 284,463 : x
  2. Step 2: Convert to fraction form
    138,955.50/284,463 = 284,463/x
  3. Step 3: Cross multiply
    138,955.50x = 284,463 × 284,463
  4. Step 4: Simplify right side
    138,955.50x = 80,919,198,369
  5. Step 5: Solve for x
    x = 80,919,198,369/138,955.50
  6. Step 6: Final answer
    x = 582,338.94

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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.