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Finding the Third Proportional to 87.84 and 198.94

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Solution

The third proportional to 87.84 and 198.94 is: 450.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.84 : 198.94 = 198.94 : x
  2. Step 2: Convert to fraction form
    87.84/198.94 = 198.94/x
  3. Step 3: Cross multiply
    87.84x = 198.94 × 198.94
  4. Step 4: Simplify right side
    87.84x = 39,576.13
  5. Step 5: Solve for x
    x = 39,576.13/87.84
  6. Step 6: Final answer
    x = 450.53

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.