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Finding the Third Proportional to 118.50 and 136.88

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Solution

The third proportional to 118.50 and 136.88 is: 158.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.50 : 136.88 = 136.88 : x
  2. Step 2: Convert to fraction form
    118.50/136.88 = 136.88/x
  3. Step 3: Cross multiply
    118.50x = 136.88 × 136.88
  4. Step 4: Simplify right side
    118.50x = 18,734.77
  5. Step 5: Solve for x
    x = 18,734.77/118.50
  6. Step 6: Final answer
    x = 158.10

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.