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Finding the Third Proportional to 20,411 and 41,919

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Solution

The third proportional to 20,411 and 41,919 is: 86,090.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,411 : 41,919 = 41,919 : x
  2. Step 2: Convert to fraction form
    20,411/41,919 = 41,919/x
  3. Step 3: Cross multiply
    20,411x = 41,919 × 41,919
  4. Step 4: Simplify right side
    20,411x = 1,757,202,561
  5. Step 5: Solve for x
    x = 1,757,202,561/20,411
  6. Step 6: Final answer
    x = 86,090.96

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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.