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Finding the Third Proportional to 20,198 and 41,408

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Solution

The third proportional to 20,198 and 41,408 is: 84,890.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,198 : 41,408 = 41,408 : x
  2. Step 2: Convert to fraction form
    20,198/41,408 = 41,408/x
  3. Step 3: Cross multiply
    20,198x = 41,408 × 41,408
  4. Step 4: Simplify right side
    20,198x = 1,714,622,464
  5. Step 5: Solve for x
    x = 1,714,622,464/20,198
  6. Step 6: Final answer
    x = 84,890.71

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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.