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Finding the Third Proportional to 21,822 and 34,137

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Solution

The third proportional to 21,822 and 34,137 is: 53,401.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,822 : 34,137 = 34,137 : x
  2. Step 2: Convert to fraction form
    21,822/34,137 = 34,137/x
  3. Step 3: Cross multiply
    21,822x = 34,137 × 34,137
  4. Step 4: Simplify right side
    21,822x = 1,165,334,769
  5. Step 5: Solve for x
    x = 1,165,334,769/21,822
  6. Step 6: Final answer
    x = 53,401.83

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.