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Finding the Third Proportional to 138,972 and 299,976

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Solution

The third proportional to 138,972 and 299,976 is: 647,508.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,972 : 299,976 = 299,976 : x
  2. Step 2: Convert to fraction form
    138,972/299,976 = 299,976/x
  3. Step 3: Cross multiply
    138,972x = 299,976 × 299,976
  4. Step 4: Simplify right side
    138,972x = 89,985,600,576
  5. Step 5: Solve for x
    x = 89,985,600,576/138,972
  6. Step 6: Final answer
    x = 647,508.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.