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Finding the Third Proportional to 221,269 and 393,431

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Solution

The third proportional to 221,269 and 393,431 is: 699,546.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,269 : 393,431 = 393,431 : x
  2. Step 2: Convert to fraction form
    221,269/393,431 = 393,431/x
  3. Step 3: Cross multiply
    221,269x = 393,431 × 393,431
  4. Step 4: Simplify right side
    221,269x = 154,787,951,761
  5. Step 5: Solve for x
    x = 154,787,951,761/221,269
  6. Step 6: Final answer
    x = 699,546.49

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.