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Finding the Third Proportional to 3,991.50 and 9,016.88

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Solution

The third proportional to 3,991.50 and 9,016.88 is: 20,369.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991.50 : 9,016.88 = 9,016.88 : x
  2. Step 2: Convert to fraction form
    3,991.50/9,016.88 = 9,016.88/x
  3. Step 3: Cross multiply
    3,991.50x = 9,016.88 × 9,016.88
  4. Step 4: Simplify right side
    3,991.50x = 81,304,034.77
  5. Step 5: Solve for x
    x = 81,304,034.77/3,991.50
  6. Step 6: Final answer
    x = 20,369.29

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.