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Finding the Third Proportional to 198.14 and 431.11

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Solution

The third proportional to 198.14 and 431.11 is: 938.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.14 : 431.11 = 431.11 : x
  2. Step 2: Convert to fraction form
    198.14/431.11 = 431.11/x
  3. Step 3: Cross multiply
    198.14x = 431.11 × 431.11
  4. Step 4: Simplify right side
    198.14x = 185,855.29
  5. Step 5: Solve for x
    x = 185,855.29/198.14
  6. Step 6: Final answer
    x = 938.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.