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Finding the Third Proportional to 198.38 and 418.13

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Solution

The third proportional to 198.38 and 418.13 is: 881.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.38 : 418.13 = 418.13 : x
  2. Step 2: Convert to fraction form
    198.38/418.13 = 418.13/x
  3. Step 3: Cross multiply
    198.38x = 418.13 × 418.13
  4. Step 4: Simplify right side
    198.38x = 174,828.52
  5. Step 5: Solve for x
    x = 174,828.52/198.38
  6. Step 6: Final answer
    x = 881.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.