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Finding the Third Proportional to 8,840 and 13,241

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Solution

The third proportional to 8,840 and 13,241 is: 19,833.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,840 : 13,241 = 13,241 : x
  2. Step 2: Convert to fraction form
    8,840/13,241 = 13,241/x
  3. Step 3: Cross multiply
    8,840x = 13,241 × 13,241
  4. Step 4: Simplify right side
    8,840x = 175,324,081
  5. Step 5: Solve for x
    x = 175,324,081/8,840
  6. Step 6: Final answer
    x = 19,833.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.