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Finding the Third Proportional to 87.94 and 118.41

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Solution

The third proportional to 87.94 and 118.41 is: 159.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.94 : 118.41 = 118.41 : x
  2. Step 2: Convert to fraction form
    87.94/118.41 = 118.41/x
  3. Step 3: Cross multiply
    87.94x = 118.41 × 118.41
  4. Step 4: Simplify right side
    87.94x = 14,020.04
  5. Step 5: Solve for x
    x = 14,020.04/87.94
  6. Step 6: Final answer
    x = 159.43

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.