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Finding the Third Proportional to 133.10 and 202.71

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Solution

The third proportional to 133.10 and 202.71 is: 308.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.10 : 202.71 = 202.71 : x
  2. Step 2: Convert to fraction form
    133.10/202.71 = 202.71/x
  3. Step 3: Cross multiply
    133.10x = 202.71 × 202.71
  4. Step 4: Simplify right side
    133.10x = 41,091.72
  5. Step 5: Solve for x
    x = 41,091.72/133.10
  6. Step 6: Final answer
    x = 308.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.