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Finding the Third Proportional to 138,768 and 327,472

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Solution

The third proportional to 138,768 and 327,472 is: 772,785.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,768 : 327,472 = 327,472 : x
  2. Step 2: Convert to fraction form
    138,768/327,472 = 327,472/x
  3. Step 3: Cross multiply
    138,768x = 327,472 × 327,472
  4. Step 4: Simplify right side
    138,768x = 107,237,910,784
  5. Step 5: Solve for x
    x = 107,237,910,784/138,768
  6. Step 6: Final answer
    x = 772,785.59

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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.