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Finding the Third Proportional to 39,736 and 81,992

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Solution

The third proportional to 39,736 and 81,992 is: 169,183.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,736 : 81,992 = 81,992 : x
  2. Step 2: Convert to fraction form
    39,736/81,992 = 81,992/x
  3. Step 3: Cross multiply
    39,736x = 81,992 × 81,992
  4. Step 4: Simplify right side
    39,736x = 6,722,688,064
  5. Step 5: Solve for x
    x = 6,722,688,064/39,736
  6. Step 6: Final answer
    x = 169,183.81

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.