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Finding the Third Proportional to 20,221 and 41,414

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Solution

The third proportional to 20,221 and 41,414 is: 84,818.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,221 : 41,414 = 41,414 : x
  2. Step 2: Convert to fraction form
    20,221/41,414 = 41,414/x
  3. Step 3: Cross multiply
    20,221x = 41,414 × 41,414
  4. Step 4: Simplify right side
    20,221x = 1,715,119,396
  5. Step 5: Solve for x
    x = 1,715,119,396/20,221
  6. Step 6: Final answer
    x = 84,818.72

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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.