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Finding the Third Proportional to 138,732 and 327,384

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Solution

The third proportional to 138,732 and 327,384 is: 772,570.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,732 : 327,384 = 327,384 : x
  2. Step 2: Convert to fraction form
    138,732/327,384 = 327,384/x
  3. Step 3: Cross multiply
    138,732x = 327,384 × 327,384
  4. Step 4: Simplify right side
    138,732x = 107,180,283,456
  5. Step 5: Solve for x
    x = 107,180,283,456/138,732
  6. Step 6: Final answer
    x = 772,570.74

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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.