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Finding the Third Proportional to 20,421 and 22,041

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Solution

The third proportional to 20,421 and 22,041 is: 23,789.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,421 : 22,041 = 22,041 : x
  2. Step 2: Convert to fraction form
    20,421/22,041 = 22,041/x
  3. Step 3: Cross multiply
    20,421x = 22,041 × 22,041
  4. Step 4: Simplify right side
    20,421x = 485,805,681
  5. Step 5: Solve for x
    x = 485,805,681/20,421
  6. Step 6: Final answer
    x = 23,789.51

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.