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Finding the Third Proportional to 87.75 and 138.66

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Solution

The third proportional to 87.75 and 138.66 is: 219.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.75 : 138.66 = 138.66 : x
  2. Step 2: Convert to fraction form
    87.75/138.66 = 138.66/x
  3. Step 3: Cross multiply
    87.75x = 138.66 × 138.66
  4. Step 4: Simplify right side
    87.75x = 19,225.56
  5. Step 5: Solve for x
    x = 19,225.56/87.75
  6. Step 6: Final answer
    x = 219.09

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.