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Finding the Third Proportional to 84.69 and 200.97

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Solution

The third proportional to 84.69 and 200.97 is: 476.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.69 : 200.97 = 200.97 : x
  2. Step 2: Convert to fraction form
    84.69/200.97 = 200.97/x
  3. Step 3: Cross multiply
    84.69x = 200.97 × 200.97
  4. Step 4: Simplify right side
    84.69x = 40,388.44
  5. Step 5: Solve for x
    x = 40,388.44/84.69
  6. Step 6: Final answer
    x = 476.91

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.