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Finding the Third Proportional to 3,843.70 and 8,440.45

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Solution

The third proportional to 3,843.70 and 8,440.45 is: 18,534.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.70 : 8,440.45 = 8,440.45 : x
  2. Step 2: Convert to fraction form
    3,843.70/8,440.45 = 8,440.45/x
  3. Step 3: Cross multiply
    3,843.70x = 8,440.45 × 8,440.45
  4. Step 4: Simplify right side
    3,843.70x = 71,241,248.96
  5. Step 5: Solve for x
    x = 71,241,248.96/3,843.70
  6. Step 6: Final answer
    x = 18,534.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.