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Finding the Third Proportional to 3,378.66 and 7,393.64

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Solution

The third proportional to 3,378.66 and 7,393.64 is: 16,179.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.66 : 7,393.64 = 7,393.64 : x
  2. Step 2: Convert to fraction form
    3,378.66/7,393.64 = 7,393.64/x
  3. Step 3: Cross multiply
    3,378.66x = 7,393.64 × 7,393.64
  4. Step 4: Simplify right side
    3,378.66x = 54,665,921.69
  5. Step 5: Solve for x
    x = 54,665,921.69/3,378.66
  6. Step 6: Final answer
    x = 16,179.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.