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Finding the Third Proportional to 8,272.13 and 11,463.19

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Solution

The third proportional to 8,272.13 and 11,463.19 is: 15,885.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.13 : 11,463.19 = 11,463.19 : x
  2. Step 2: Convert to fraction form
    8,272.13/11,463.19 = 11,463.19/x
  3. Step 3: Cross multiply
    8,272.13x = 11,463.19 × 11,463.19
  4. Step 4: Simplify right side
    8,272.13x = 131,404,667.66
  5. Step 5: Solve for x
    x = 131,404,667.66/8,272.13
  6. Step 6: Final answer
    x = 15,885.24

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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.