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Finding the Third Proportional to 138,627 and 301,446

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Solution

The third proportional to 138,627 and 301,446 is: 655,497.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,627 : 301,446 = 301,446 : x
  2. Step 2: Convert to fraction form
    138,627/301,446 = 301,446/x
  3. Step 3: Cross multiply
    138,627x = 301,446 × 301,446
  4. Step 4: Simplify right side
    138,627x = 90,869,690,916
  5. Step 5: Solve for x
    x = 90,869,690,916/138,627
  6. Step 6: Final answer
    x = 655,497.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.