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Finding the Third Proportional to 21,992 and 51,863

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Solution

The third proportional to 21,992 and 51,863 is: 122,306.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,992 : 51,863 = 51,863 : x
  2. Step 2: Convert to fraction form
    21,992/51,863 = 51,863/x
  3. Step 3: Cross multiply
    21,992x = 51,863 × 51,863
  4. Step 4: Simplify right side
    21,992x = 2,689,770,769
  5. Step 5: Solve for x
    x = 2,689,770,769/21,992
  6. Step 6: Final answer
    x = 122,306.78

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.