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Finding the Third Proportional to 138,715 and 327,251

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Solution

The third proportional to 138,715 and 327,251 is: 772,037.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,715 : 327,251 = 327,251 : x
  2. Step 2: Convert to fraction form
    138,715/327,251 = 327,251/x
  3. Step 3: Cross multiply
    138,715x = 327,251 × 327,251
  4. Step 4: Simplify right side
    138,715x = 107,093,217,001
  5. Step 5: Solve for x
    x = 107,093,217,001/138,715
  6. Step 6: Final answer
    x = 772,037.75

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.