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Finding the Third Proportional to 86.17 and 133.42

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Solution

The third proportional to 86.17 and 133.42 is: 206.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.17 : 133.42 = 133.42 : x
  2. Step 2: Convert to fraction form
    86.17/133.42 = 133.42/x
  3. Step 3: Cross multiply
    86.17x = 133.42 × 133.42
  4. Step 4: Simplify right side
    86.17x = 17,800.35
  5. Step 5: Solve for x
    x = 17,800.35/86.17
  6. Step 6: Final answer
    x = 206.58

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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.