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Finding the Third Proportional to 199.69 and 269.79

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Solution

The third proportional to 199.69 and 269.79 is: 364.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.69 : 269.79 = 269.79 : x
  2. Step 2: Convert to fraction form
    199.69/269.79 = 269.79/x
  3. Step 3: Cross multiply
    199.69x = 269.79 × 269.79
  4. Step 4: Simplify right side
    199.69x = 72,786.14
  5. Step 5: Solve for x
    x = 72,786.14/199.69
  6. Step 6: Final answer
    x = 364.50

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.