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Finding the Third Proportional to 203,220 and 274,134

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Solution

The third proportional to 203,220 and 274,134 is: 369,793.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,220 : 274,134 = 274,134 : x
  2. Step 2: Convert to fraction form
    203,220/274,134 = 274,134/x
  3. Step 3: Cross multiply
    203,220x = 274,134 × 274,134
  4. Step 4: Simplify right side
    203,220x = 75,149,449,956
  5. Step 5: Solve for x
    x = 75,149,449,956/203,220
  6. Step 6: Final answer
    x = 369,793.57

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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.