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Finding the Third Proportional to 39,976 and 81,328

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Solution

The third proportional to 39,976 and 81,328 is: 165,455.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,976 : 81,328 = 81,328 : x
  2. Step 2: Convert to fraction form
    39,976/81,328 = 81,328/x
  3. Step 3: Cross multiply
    39,976x = 81,328 × 81,328
  4. Step 4: Simplify right side
    39,976x = 6,614,243,584
  5. Step 5: Solve for x
    x = 6,614,243,584/39,976
  6. Step 6: Final answer
    x = 165,455.36

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.