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Finding the Third Proportional to 107.42 and 201.22

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Solution

The third proportional to 107.42 and 201.22 is: 376.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.42 : 201.22 = 201.22 : x
  2. Step 2: Convert to fraction form
    107.42/201.22 = 201.22/x
  3. Step 3: Cross multiply
    107.42x = 201.22 × 201.22
  4. Step 4: Simplify right side
    107.42x = 40,488.99
  5. Step 5: Solve for x
    x = 40,488.99/107.42
  6. Step 6: Final answer
    x = 376.92

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.