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Finding the Third Proportional to 8,108 and 11,296

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Solution

The third proportional to 8,108 and 11,296 is: 15,737.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,108 : 11,296 = 11,296 : x
  2. Step 2: Convert to fraction form
    8,108/11,296 = 11,296/x
  3. Step 3: Cross multiply
    8,108x = 11,296 × 11,296
  4. Step 4: Simplify right side
    8,108x = 127,599,616
  5. Step 5: Solve for x
    x = 127,599,616/8,108
  6. Step 6: Final answer
    x = 15,737.50

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.