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Finding the Third Proportional to 20,553 and 21,849

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Solution

The third proportional to 20,553 and 21,849 is: 23,226.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,553 : 21,849 = 21,849 : x
  2. Step 2: Convert to fraction form
    20,553/21,849 = 21,849/x
  3. Step 3: Cross multiply
    20,553x = 21,849 × 21,849
  4. Step 4: Simplify right side
    20,553x = 477,378,801
  5. Step 5: Solve for x
    x = 477,378,801/20,553
  6. Step 6: Final answer
    x = 23,226.72

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Why These Related Problems?

These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.