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Finding the Third Proportional to 8,016.47 and 11,793.09

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Solution

The third proportional to 8,016.47 and 11,793.09 is: 17,348.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,016.47 : 11,793.09 = 11,793.09 : x
  2. Step 2: Convert to fraction form
    8,016.47/11,793.09 = 11,793.09/x
  3. Step 3: Cross multiply
    8,016.47x = 11,793.09 × 11,793.09
  4. Step 4: Simplify right side
    8,016.47x = 139,077,060.20
  5. Step 5: Solve for x
    x = 139,077,060.20/8,016.47
  6. Step 6: Final answer
    x = 17,348.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.