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Finding the Third Proportional to 154.27 and 246.66

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Solution

The third proportional to 154.27 and 246.66 is: 394.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.27 : 246.66 = 246.66 : x
  2. Step 2: Convert to fraction form
    154.27/246.66 = 246.66/x
  3. Step 3: Cross multiply
    154.27x = 246.66 × 246.66
  4. Step 4: Simplify right side
    154.27x = 60,839.31
  5. Step 5: Solve for x
    x = 60,839.31/154.27
  6. Step 6: Final answer
    x = 394.38

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.