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Finding the Third Proportional to 13,624 and 20,831

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Solution

The third proportional to 13,624 and 20,831 is: 31,850.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,624 : 20,831 = 20,831 : x
  2. Step 2: Convert to fraction form
    13,624/20,831 = 20,831/x
  3. Step 3: Cross multiply
    13,624x = 20,831 × 20,831
  4. Step 4: Simplify right side
    13,624x = 433,930,561
  5. Step 5: Solve for x
    x = 433,930,561/13,624
  6. Step 6: Final answer
    x = 31,850.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.