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Finding the Third Proportional to 21,671 and 34,387

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Solution

The third proportional to 21,671 and 34,387 is: 54,564.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,671 : 34,387 = 34,387 : x
  2. Step 2: Convert to fraction form
    21,671/34,387 = 34,387/x
  3. Step 3: Cross multiply
    21,671x = 34,387 × 34,387
  4. Step 4: Simplify right side
    21,671x = 1,182,465,769
  5. Step 5: Solve for x
    x = 1,182,465,769/21,671
  6. Step 6: Final answer
    x = 54,564.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.