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Finding the Third Proportional to 138,750 and 327,429

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Solution

The third proportional to 138,750 and 327,429 is: 772,682.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,750 : 327,429 = 327,429 : x
  2. Step 2: Convert to fraction form
    138,750/327,429 = 327,429/x
  3. Step 3: Cross multiply
    138,750x = 327,429 × 327,429
  4. Step 4: Simplify right side
    138,750x = 107,209,750,041
  5. Step 5: Solve for x
    x = 107,209,750,041/138,750
  6. Step 6: Final answer
    x = 772,682.88

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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.