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Finding the Third Proportional to 138,467 and 207,469

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Solution

The third proportional to 138,467 and 207,469 is: 310,856.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,467 : 207,469 = 207,469 : x
  2. Step 2: Convert to fraction form
    138,467/207,469 = 207,469/x
  3. Step 3: Cross multiply
    138,467x = 207,469 × 207,469
  4. Step 4: Simplify right side
    138,467x = 43,043,385,961
  5. Step 5: Solve for x
    x = 43,043,385,961/138,467
  6. Step 6: Final answer
    x = 310,856.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.