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Finding the Third Proportional to 87.15 and 116.26

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Solution

The third proportional to 87.15 and 116.26 is: 155.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.15 : 116.26 = 116.26 : x
  2. Step 2: Convert to fraction form
    87.15/116.26 = 116.26/x
  3. Step 3: Cross multiply
    87.15x = 116.26 × 116.26
  4. Step 4: Simplify right side
    87.15x = 13,516.79
  5. Step 5: Solve for x
    x = 13,516.79/87.15
  6. Step 6: Final answer
    x = 155.09

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.