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Finding the Third Proportional to 20,491 and 41,734

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Solution

The third proportional to 20,491 and 41,734 is: 84,999.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,491 : 41,734 = 41,734 : x
  2. Step 2: Convert to fraction form
    20,491/41,734 = 41,734/x
  3. Step 3: Cross multiply
    20,491x = 41,734 × 41,734
  4. Step 4: Simplify right side
    20,491x = 1,741,726,756
  5. Step 5: Solve for x
    x = 1,741,726,756/20,491
  6. Step 6: Final answer
    x = 84,999.60

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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.