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Finding the Third Proportional to 87.75 and 156.44

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Solution

The third proportional to 87.75 and 156.44 is: 278.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.75 : 156.44 = 156.44 : x
  2. Step 2: Convert to fraction form
    87.75/156.44 = 156.44/x
  3. Step 3: Cross multiply
    87.75x = 156.44 × 156.44
  4. Step 4: Simplify right side
    87.75x = 24,472.69
  5. Step 5: Solve for x
    x = 24,472.69/87.75
  6. Step 6: Final answer
    x = 278.89

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.