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Finding the Third Proportional to 203,228 and 274,144

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Solution

The third proportional to 203,228 and 274,144 is: 369,805.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,228 : 274,144 = 274,144 : x
  2. Step 2: Convert to fraction form
    203,228/274,144 = 274,144/x
  3. Step 3: Cross multiply
    203,228x = 274,144 × 274,144
  4. Step 4: Simplify right side
    203,228x = 75,154,932,736
  5. Step 5: Solve for x
    x = 75,154,932,736/203,228
  6. Step 6: Final answer
    x = 369,805.99

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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.