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Finding the Third Proportional to 86.17 and 143.96

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Solution

The third proportional to 86.17 and 143.96 is: 240.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.17 : 143.96 = 143.96 : x
  2. Step 2: Convert to fraction form
    86.17/143.96 = 143.96/x
  3. Step 3: Cross multiply
    86.17x = 143.96 × 143.96
  4. Step 4: Simplify right side
    86.17x = 20,725.88
  5. Step 5: Solve for x
    x = 20,725.88/86.17
  6. Step 6: Final answer
    x = 240.53

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.