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Finding the Third Proportional to 198.28 and 457.42

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Solution

The third proportional to 198.28 and 457.42 is: 1,055.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.28 : 457.42 = 457.42 : x
  2. Step 2: Convert to fraction form
    198.28/457.42 = 457.42/x
  3. Step 3: Cross multiply
    198.28x = 457.42 × 457.42
  4. Step 4: Simplify right side
    198.28x = 209,231.20
  5. Step 5: Solve for x
    x = 209,231.20/198.28
  6. Step 6: Final answer
    x = 1,055.22

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.