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Finding the Third Proportional to 8,131.50 and 11,287.13

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Solution

The third proportional to 8,131.50 and 11,287.13 is: 15,667.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131.50 : 11,287.13 = 11,287.13 : x
  2. Step 2: Convert to fraction form
    8,131.50/11,287.13 = 11,287.13/x
  3. Step 3: Cross multiply
    8,131.50x = 11,287.13 × 11,287.13
  4. Step 4: Simplify right side
    8,131.50x = 127,399,190.77
  5. Step 5: Solve for x
    x = 127,399,190.77/8,131.50
  6. Step 6: Final answer
    x = 15,667.37

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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.