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Finding the Third Proportional to 198.97 and 438.43

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Solution

The third proportional to 198.97 and 438.43 is: 966.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.97 : 438.43 = 438.43 : x
  2. Step 2: Convert to fraction form
    198.97/438.43 = 438.43/x
  3. Step 3: Cross multiply
    198.97x = 438.43 × 438.43
  4. Step 4: Simplify right side
    198.97x = 192,224.02
  5. Step 5: Solve for x
    x = 192,224.02/198.97
  6. Step 6: Final answer
    x = 966.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.