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Finding the Third Proportional to 198.47 and 300.66

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Solution

The third proportional to 198.47 and 300.66 is: 455.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.47 : 300.66 = 300.66 : x
  2. Step 2: Convert to fraction form
    198.47/300.66 = 300.66/x
  3. Step 3: Cross multiply
    198.47x = 300.66 × 300.66
  4. Step 4: Simplify right side
    198.47x = 90,394.18
  5. Step 5: Solve for x
    x = 90,394.18/198.47
  6. Step 6: Final answer
    x = 455.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.