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Finding the Third Proportional to 86.75 and 134.88

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Solution

The third proportional to 86.75 and 134.88 is: 209.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.75 : 134.88 = 134.88 : x
  2. Step 2: Convert to fraction form
    86.75/134.88 = 134.88/x
  3. Step 3: Cross multiply
    86.75x = 134.88 × 134.88
  4. Step 4: Simplify right side
    86.75x = 18,191.27
  5. Step 5: Solve for x
    x = 18,191.27/86.75
  6. Step 6: Final answer
    x = 209.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.