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Finding the Third Proportional to 3,900.66 and 8,427.80

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Solution

The third proportional to 3,900.66 and 8,427.80 is: 18,209.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.66 : 8,427.80 = 8,427.80 : x
  2. Step 2: Convert to fraction form
    3,900.66/8,427.80 = 8,427.80/x
  3. Step 3: Cross multiply
    3,900.66x = 8,427.80 × 8,427.80
  4. Step 4: Simplify right side
    3,900.66x = 71,027,760.17
  5. Step 5: Solve for x
    x = 71,027,760.17/3,900.66
  6. Step 6: Final answer
    x = 18,209.18

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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.