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Finding the Third Proportional to 126.14 and 178.66

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Solution

The third proportional to 126.14 and 178.66 is: 253.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.14 : 178.66 = 178.66 : x
  2. Step 2: Convert to fraction form
    126.14/178.66 = 178.66/x
  3. Step 3: Cross multiply
    126.14x = 178.66 × 178.66
  4. Step 4: Simplify right side
    126.14x = 31,920.85
  5. Step 5: Solve for x
    x = 31,920.85/126.14
  6. Step 6: Final answer
    x = 253.06

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.