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Finding the Third Proportional to 118.48 and 246.43

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Solution

The third proportional to 118.48 and 246.43 is: 512.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.48 : 246.43 = 246.43 : x
  2. Step 2: Convert to fraction form
    118.48/246.43 = 246.43/x
  3. Step 3: Cross multiply
    118.48x = 246.43 × 246.43
  4. Step 4: Simplify right side
    118.48x = 60,726.73
  5. Step 5: Solve for x
    x = 60,726.73/118.48
  6. Step 6: Final answer
    x = 512.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.