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Finding the Third Proportional to 201.98 and 414.89

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Solution

The third proportional to 201.98 and 414.89 is: 852.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.98 : 414.89 = 414.89 : x
  2. Step 2: Convert to fraction form
    201.98/414.89 = 414.89/x
  3. Step 3: Cross multiply
    201.98x = 414.89 × 414.89
  4. Step 4: Simplify right side
    201.98x = 172,134.23
  5. Step 5: Solve for x
    x = 172,134.23/201.98
  6. Step 6: Final answer
    x = 852.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.