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Finding the Third Proportional to 39,482 and 80,809

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Solution

The third proportional to 39,482 and 80,809 is: 165,394.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,482 : 80,809 = 80,809 : x
  2. Step 2: Convert to fraction form
    39,482/80,809 = 80,809/x
  3. Step 3: Cross multiply
    39,482x = 80,809 × 80,809
  4. Step 4: Simplify right side
    39,482x = 6,530,094,481
  5. Step 5: Solve for x
    x = 6,530,094,481/39,482
  6. Step 6: Final answer
    x = 165,394.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.