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Finding the Third Proportional to 126.13 and 178.63

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Solution

The third proportional to 126.13 and 178.63 is: 252.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.13 : 178.63 = 178.63 : x
  2. Step 2: Convert to fraction form
    126.13/178.63 = 178.63/x
  3. Step 3: Cross multiply
    126.13x = 178.63 × 178.63
  4. Step 4: Simplify right side
    126.13x = 31,906.89
  5. Step 5: Solve for x
    x = 31,906.89/126.13
  6. Step 6: Final answer
    x = 252.98

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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.