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Finding the Third Proportional to 13,286.25 and 20,512.69

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Solution

The third proportional to 13,286.25 and 20,512.69 is: 31,669.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,286.25 : 20,512.69 = 20,512.69 : x
  2. Step 2: Convert to fraction form
    13,286.25/20,512.69 = 20,512.69/x
  3. Step 3: Cross multiply
    13,286.25x = 20,512.69 × 20,512.69
  4. Step 4: Simplify right side
    13,286.25x = 420,770,348.47
  5. Step 5: Solve for x
    x = 420,770,348.47/13,286.25
  6. Step 6: Final answer
    x = 31,669.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.