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Finding the Third Proportional to 8,169.75 and 11,487.38

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Solution

The third proportional to 8,169.75 and 11,487.38 is: 16,152.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,169.75 : 11,487.38 = 11,487.38 : x
  2. Step 2: Convert to fraction form
    8,169.75/11,487.38 = 11,487.38/x
  3. Step 3: Cross multiply
    8,169.75x = 11,487.38 × 11,487.38
  4. Step 4: Simplify right side
    8,169.75x = 131,959,784.39
  5. Step 5: Solve for x
    x = 131,959,784.39/8,169.75
  6. Step 6: Final answer
    x = 16,152.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.