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Finding the Third Proportional to 3,708.38 and 8,100.56

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Solution

The third proportional to 3,708.38 and 8,100.56 is: 17,694.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,708.38 : 8,100.56 = 8,100.56 : x
  2. Step 2: Convert to fraction form
    3,708.38/8,100.56 = 8,100.56/x
  3. Step 3: Cross multiply
    3,708.38x = 8,100.56 × 8,100.56
  4. Step 4: Simplify right side
    3,708.38x = 65,619,112.82
  5. Step 5: Solve for x
    x = 65,619,112.82/3,708.38
  6. Step 6: Final answer
    x = 17,694.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.