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Finding the Third Proportional to 151.03 and 203.34

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Solution

The third proportional to 151.03 and 203.34 is: 273.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.03 : 203.34 = 203.34 : x
  2. Step 2: Convert to fraction form
    151.03/203.34 = 203.34/x
  3. Step 3: Cross multiply
    151.03x = 203.34 × 203.34
  4. Step 4: Simplify right side
    151.03x = 41,348.68
  5. Step 5: Solve for x
    x = 41,348.68/151.03
  6. Step 6: Final answer
    x = 273.78

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.