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Finding the Third Proportional to 198.49 and 458.53

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Solution

The third proportional to 198.49 and 458.53 is: 1,059.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.49 : 458.53 = 458.53 : x
  2. Step 2: Convert to fraction form
    198.49/458.53 = 458.53/x
  3. Step 3: Cross multiply
    198.49x = 458.53 × 458.53
  4. Step 4: Simplify right side
    198.49x = 210,250.91
  5. Step 5: Solve for x
    x = 210,250.91/198.49
  6. Step 6: Final answer
    x = 1,059.24

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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.