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Finding the Third Proportional to 201.84 and 421.97

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Solution

The third proportional to 201.84 and 421.97 is: 882.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.84 : 421.97 = 421.97 : x
  2. Step 2: Convert to fraction form
    201.84/421.97 = 421.97/x
  3. Step 3: Cross multiply
    201.84x = 421.97 × 421.97
  4. Step 4: Simplify right side
    201.84x = 178,057.63
  5. Step 5: Solve for x
    x = 178,057.63/201.84
  6. Step 6: Final answer
    x = 882.16

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.