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Finding the Third Proportional to 3,910.78 and 8,436.66

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Solution

The third proportional to 3,910.78 and 8,436.66 is: 18,200.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,910.78 : 8,436.66 = 8,436.66 : x
  2. Step 2: Convert to fraction form
    3,910.78/8,436.66 = 8,436.66/x
  3. Step 3: Cross multiply
    3,910.78x = 8,436.66 × 8,436.66
  4. Step 4: Simplify right side
    3,910.78x = 71,177,168.68
  5. Step 5: Solve for x
    x = 71,177,168.68/3,910.78
  6. Step 6: Final answer
    x = 18,200.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.