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Finding the Third Proportional to 199.97 and 304.54

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Solution

The third proportional to 199.97 and 304.54 is: 463.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.97 : 304.54 = 304.54 : x
  2. Step 2: Convert to fraction form
    199.97/304.54 = 304.54/x
  3. Step 3: Cross multiply
    199.97x = 304.54 × 304.54
  4. Step 4: Simplify right side
    199.97x = 92,745.23
  5. Step 5: Solve for x
    x = 92,745.23/199.97
  6. Step 6: Final answer
    x = 463.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.