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Finding the Third Proportional to 87.72 and 136.94

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Solution

The third proportional to 87.72 and 136.94 is: 213.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.72 : 136.94 = 136.94 : x
  2. Step 2: Convert to fraction form
    87.72/136.94 = 136.94/x
  3. Step 3: Cross multiply
    87.72x = 136.94 × 136.94
  4. Step 4: Simplify right side
    87.72x = 18,751.88
  5. Step 5: Solve for x
    x = 18,751.88/87.72
  6. Step 6: Final answer
    x = 213.77

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.