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Finding the Third Proportional to 138,712.50 and 327,246.75

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Solution

The third proportional to 138,712.50 and 327,246.75 is: 772,031.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,712.50 : 327,246.75 = 327,246.75 : x
  2. Step 2: Convert to fraction form
    138,712.50/327,246.75 = 327,246.75/x
  3. Step 3: Cross multiply
    138,712.50x = 327,246.75 × 327,246.75
  4. Step 4: Simplify right side
    138,712.50x = 107,090,435,385.56
  5. Step 5: Solve for x
    x = 107,090,435,385.56/138,712.50
  6. Step 6: Final answer
    x = 772,031.61

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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.