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Finding the Third Proportional to 133.68 and 201.55

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Solution

The third proportional to 133.68 and 201.55 is: 303.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.68 : 201.55 = 201.55 : x
  2. Step 2: Convert to fraction form
    133.68/201.55 = 201.55/x
  3. Step 3: Cross multiply
    133.68x = 201.55 × 201.55
  4. Step 4: Simplify right side
    133.68x = 40,622.72
  5. Step 5: Solve for x
    x = 40,622.72/133.68
  6. Step 6: Final answer
    x = 303.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.