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Finding the Third Proportional to 201.09 and 396.84

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Solution

The third proportional to 201.09 and 396.84 is: 783.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.09 : 396.84 = 396.84 : x
  2. Step 2: Convert to fraction form
    201.09/396.84 = 396.84/x
  3. Step 3: Cross multiply
    201.09x = 396.84 × 396.84
  4. Step 4: Simplify right side
    201.09x = 157,484.96
  5. Step 5: Solve for x
    x = 157,484.96/201.09
  6. Step 6: Final answer
    x = 783.14

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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.