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Finding the Third Proportional to 9,104.91 and 11,986.73

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Solution

The third proportional to 9,104.91 and 11,986.73 is: 15,780.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,104.91 : 11,986.73 = 11,986.73 : x
  2. Step 2: Convert to fraction form
    9,104.91/11,986.73 = 11,986.73/x
  3. Step 3: Cross multiply
    9,104.91x = 11,986.73 × 11,986.73
  4. Step 4: Simplify right side
    9,104.91x = 143,681,800.98
  5. Step 5: Solve for x
    x = 143,681,800.98/9,104.91
  6. Step 6: Final answer
    x = 15,780.70

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.