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Finding the Third Proportional to 199.97 and 301.69

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Solution

The third proportional to 199.97 and 301.69 is: 455.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.97 : 301.69 = 301.69 : x
  2. Step 2: Convert to fraction form
    199.97/301.69 = 301.69/x
  3. Step 3: Cross multiply
    199.97x = 301.69 × 301.69
  4. Step 4: Simplify right side
    199.97x = 91,015.35
  5. Step 5: Solve for x
    x = 91,015.35/199.97
  6. Step 6: Final answer
    x = 455.15

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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.