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Finding the Third Proportional to 101.46 and 199.54

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Solution

The third proportional to 101.46 and 199.54 is: 392.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.46 : 199.54 = 199.54 : x
  2. Step 2: Convert to fraction form
    101.46/199.54 = 199.54/x
  3. Step 3: Cross multiply
    101.46x = 199.54 × 199.54
  4. Step 4: Simplify right side
    101.46x = 39,816.70
  5. Step 5: Solve for x
    x = 39,816.70/101.46
  6. Step 6: Final answer
    x = 392.43

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.