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Finding the Third Proportional to 178.66 and 381.31

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Solution

The third proportional to 178.66 and 381.31 is: 813.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.66 : 381.31 = 381.31 : x
  2. Step 2: Convert to fraction form
    178.66/381.31 = 381.31/x
  3. Step 3: Cross multiply
    178.66x = 381.31 × 381.31
  4. Step 4: Simplify right side
    178.66x = 145,399.22
  5. Step 5: Solve for x
    x = 145,399.22/178.66
  6. Step 6: Final answer
    x = 813.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.