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Finding the Third Proportional to 201.38 and 472.94

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Solution

The third proportional to 201.38 and 472.94 is: 1,110.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.38 : 472.94 = 472.94 : x
  2. Step 2: Convert to fraction form
    201.38/472.94 = 472.94/x
  3. Step 3: Cross multiply
    201.38x = 472.94 × 472.94
  4. Step 4: Simplify right side
    201.38x = 223,669.88
  5. Step 5: Solve for x
    x = 223,669.88/201.38
  6. Step 6: Final answer
    x = 1,110.71

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.