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Finding the Third Proportional to 149.91 and 201.52

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Solution

The third proportional to 149.91 and 201.52 is: 270.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.91 : 201.52 = 201.52 : x
  2. Step 2: Convert to fraction form
    149.91/201.52 = 201.52/x
  3. Step 3: Cross multiply
    149.91x = 201.52 × 201.52
  4. Step 4: Simplify right side
    149.91x = 40,608.55
  5. Step 5: Solve for x
    x = 40,608.55/149.91
  6. Step 6: Final answer
    x = 270.89

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.