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Finding the Third Proportional to 11,002.50 and 17,691.75

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Solution

The third proportional to 11,002.50 and 17,691.75 is: 28,447.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,002.50 : 17,691.75 = 17,691.75 : x
  2. Step 2: Convert to fraction form
    11,002.50/17,691.75 = 17,691.75/x
  3. Step 3: Cross multiply
    11,002.50x = 17,691.75 × 17,691.75
  4. Step 4: Simplify right side
    11,002.50x = 312,998,018.06
  5. Step 5: Solve for x
    x = 312,998,018.06/11,002.50
  6. Step 6: Final answer
    x = 28,447.90

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.