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Finding the Third Proportional to 8,115.75 and 10,906.88

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Solution

The third proportional to 8,115.75 and 10,906.88 is: 14,657.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,115.75 : 10,906.88 = 10,906.88 : x
  2. Step 2: Convert to fraction form
    8,115.75/10,906.88 = 10,906.88/x
  3. Step 3: Cross multiply
    8,115.75x = 10,906.88 × 10,906.88
  4. Step 4: Simplify right side
    8,115.75x = 118,959,922.27
  5. Step 5: Solve for x
    x = 118,959,922.27/8,115.75
  6. Step 6: Final answer
    x = 14,657.91

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.