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Finding the Third Proportional to 20,107 and 21,930

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Solution

The third proportional to 20,107 and 21,930 is: 23,918.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,107 : 21,930 = 21,930 : x
  2. Step 2: Convert to fraction form
    20,107/21,930 = 21,930/x
  3. Step 3: Cross multiply
    20,107x = 21,930 × 21,930
  4. Step 4: Simplify right side
    20,107x = 480,924,900
  5. Step 5: Solve for x
    x = 480,924,900/20,107
  6. Step 6: Final answer
    x = 23,918.28

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.