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Finding the Third Proportional to 86.69 and 206.97

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Solution

The third proportional to 86.69 and 206.97 is: 494.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.69 : 206.97 = 206.97 : x
  2. Step 2: Convert to fraction form
    86.69/206.97 = 206.97/x
  3. Step 3: Cross multiply
    86.69x = 206.97 × 206.97
  4. Step 4: Simplify right side
    86.69x = 42,836.06
  5. Step 5: Solve for x
    x = 42,836.06/86.69
  6. Step 6: Final answer
    x = 494.14

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.