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Finding the Third Proportional to 87.75 and 155.19

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Solution

The third proportional to 87.75 and 155.19 is: 274.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.75 : 155.19 = 155.19 : x
  2. Step 2: Convert to fraction form
    87.75/155.19 = 155.19/x
  3. Step 3: Cross multiply
    87.75x = 155.19 × 155.19
  4. Step 4: Simplify right side
    87.75x = 24,083.16
  5. Step 5: Solve for x
    x = 24,083.16/87.75
  6. Step 6: Final answer
    x = 274.45

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.