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Finding the Third Proportional to 9,109.13 and 11,491.88

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Solution

The third proportional to 9,109.13 and 11,491.88 is: 14,497.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109.13 : 11,491.88 = 11,491.88 : x
  2. Step 2: Convert to fraction form
    9,109.13/11,491.88 = 11,491.88/x
  3. Step 3: Cross multiply
    9,109.13x = 11,491.88 × 11,491.88
  4. Step 4: Simplify right side
    9,109.13x = 132,063,191.02
  5. Step 5: Solve for x
    x = 132,063,191.02/9,109.13
  6. Step 6: Final answer
    x = 14,497.90

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.