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Finding the Third Proportional to 201.75 and 422.81

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Solution

The third proportional to 201.75 and 422.81 is: 886.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.75 : 422.81 = 422.81 : x
  2. Step 2: Convert to fraction form
    201.75/422.81 = 422.81/x
  3. Step 3: Cross multiply
    201.75x = 422.81 × 422.81
  4. Step 4: Simplify right side
    201.75x = 178,770.41
  5. Step 5: Solve for x
    x = 178,770.41/201.75
  6. Step 6: Final answer
    x = 886.10

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.