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Finding the Third Proportional to 13,662 and 20,635

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Solution

The third proportional to 13,662 and 20,635 is: 31,166.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,662 : 20,635 = 20,635 : x
  2. Step 2: Convert to fraction form
    13,662/20,635 = 20,635/x
  3. Step 3: Cross multiply
    13,662x = 20,635 × 20,635
  4. Step 4: Simplify right side
    13,662x = 425,803,225
  5. Step 5: Solve for x
    x = 425,803,225/13,662
  6. Step 6: Final answer
    x = 31,166.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.