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Finding the Third Proportional to 8,923.92 and 11,728.55

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Solution

The third proportional to 8,923.92 and 11,728.55 is: 15,414.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,923.92 : 11,728.55 = 11,728.55 : x
  2. Step 2: Convert to fraction form
    8,923.92/11,728.55 = 11,728.55/x
  3. Step 3: Cross multiply
    8,923.92x = 11,728.55 × 11,728.55
  4. Step 4: Simplify right side
    8,923.92x = 137,558,811.80
  5. Step 5: Solve for x
    x = 137,558,811.80/8,923.92
  6. Step 6: Final answer
    x = 15,414.61

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.