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Finding the Third Proportional to 20,005 and 22,489

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Solution

The third proportional to 20,005 and 22,489 is: 25,281.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,005 : 22,489 = 22,489 : x
  2. Step 2: Convert to fraction form
    20,005/22,489 = 22,489/x
  3. Step 3: Cross multiply
    20,005x = 22,489 × 22,489
  4. Step 4: Simplify right side
    20,005x = 505,755,121
  5. Step 5: Solve for x
    x = 505,755,121/20,005
  6. Step 6: Final answer
    x = 25,281.44

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.