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Finding the Third Proportional to 133.41 and 202.85

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Solution

The third proportional to 133.41 and 202.85 is: 308.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.41 : 202.85 = 202.85 : x
  2. Step 2: Convert to fraction form
    133.41/202.85 = 202.85/x
  3. Step 3: Cross multiply
    133.41x = 202.85 × 202.85
  4. Step 4: Simplify right side
    133.41x = 41,148.76
  5. Step 5: Solve for x
    x = 41,148.76/133.41
  6. Step 6: Final answer
    x = 308.45

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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.