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Finding the Third Proportional to 20,407 and 41,911

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Solution

The third proportional to 20,407 and 41,911 is: 86,074.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,407 : 41,911 = 41,911 : x
  2. Step 2: Convert to fraction form
    20,407/41,911 = 41,911/x
  3. Step 3: Cross multiply
    20,407x = 41,911 × 41,911
  4. Step 4: Simplify right side
    20,407x = 1,756,531,921
  5. Step 5: Solve for x
    x = 1,756,531,921/20,407
  6. Step 6: Final answer
    x = 86,074.97

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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.