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Finding the Third Proportional to 135.14 and 198.42

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Solution

The third proportional to 135.14 and 198.42 is: 291.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.14 : 198.42 = 198.42 : x
  2. Step 2: Convert to fraction form
    135.14/198.42 = 198.42/x
  3. Step 3: Cross multiply
    135.14x = 198.42 × 198.42
  4. Step 4: Simplify right side
    135.14x = 39,371.24
  5. Step 5: Solve for x
    x = 39,371.24/135.14
  6. Step 6: Final answer
    x = 291.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.