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Finding the Third Proportional to 87.84 and 114.69

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Solution

The third proportional to 87.84 and 114.69 is: 149.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.84 : 114.69 = 114.69 : x
  2. Step 2: Convert to fraction form
    87.84/114.69 = 114.69/x
  3. Step 3: Cross multiply
    87.84x = 114.69 × 114.69
  4. Step 4: Simplify right side
    87.84x = 13,153.22
  5. Step 5: Solve for x
    x = 13,153.22/87.84
  6. Step 6: Final answer
    x = 149.73

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.