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Finding the Third Proportional to 39,206 and 80,491

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Solution

The third proportional to 39,206 and 80,491 is: 165,250.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,206 : 80,491 = 80,491 : x
  2. Step 2: Convert to fraction form
    39,206/80,491 = 80,491/x
  3. Step 3: Cross multiply
    39,206x = 80,491 × 80,491
  4. Step 4: Simplify right side
    39,206x = 6,478,801,081
  5. Step 5: Solve for x
    x = 6,478,801,081/39,206
  6. Step 6: Final answer
    x = 165,250.24

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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.