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Finding the Third Proportional to 20,449 and 41,758

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Solution

The third proportional to 20,449 and 41,758 is: 85,272.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,449 : 41,758 = 41,758 : x
  2. Step 2: Convert to fraction form
    20,449/41,758 = 41,758/x
  3. Step 3: Cross multiply
    20,449x = 41,758 × 41,758
  4. Step 4: Simplify right side
    20,449x = 1,743,730,564
  5. Step 5: Solve for x
    x = 1,743,730,564/20,449
  6. Step 6: Final answer
    x = 85,272.17

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.