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Finding the Third Proportional to 13,616 and 20,825

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Solution

The third proportional to 13,616 and 20,825 is: 31,850.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,616 : 20,825 = 20,825 : x
  2. Step 2: Convert to fraction form
    13,616/20,825 = 20,825/x
  3. Step 3: Cross multiply
    13,616x = 20,825 × 20,825
  4. Step 4: Simplify right side
    13,616x = 433,680,625
  5. Step 5: Solve for x
    x = 433,680,625/13,616
  6. Step 6: Final answer
    x = 31,850.81

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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.