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Finding the Third Proportional to 124.66 and 178.44

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Solution

The third proportional to 124.66 and 178.44 is: 255.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.66 : 178.44 = 178.44 : x
  2. Step 2: Convert to fraction form
    124.66/178.44 = 178.44/x
  3. Step 3: Cross multiply
    124.66x = 178.44 × 178.44
  4. Step 4: Simplify right side
    124.66x = 31,839.94
  5. Step 5: Solve for x
    x = 31,839.94/124.66
  6. Step 6: Final answer
    x = 255.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.