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Finding the Third Proportional to 133.37 and 273.85

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Solution

The third proportional to 133.37 and 273.85 is: 562.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.37 : 273.85 = 273.85 : x
  2. Step 2: Convert to fraction form
    133.37/273.85 = 273.85/x
  3. Step 3: Cross multiply
    133.37x = 273.85 × 273.85
  4. Step 4: Simplify right side
    133.37x = 74,993.61
  5. Step 5: Solve for x
    x = 74,993.61/133.37
  6. Step 6: Final answer
    x = 562.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.