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Finding the Third Proportional to 263,272 and 408,400

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Solution

The third proportional to 263,272 and 408,400 is: 633,529.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,272 : 408,400 = 408,400 : x
  2. Step 2: Convert to fraction form
    263,272/408,400 = 408,400/x
  3. Step 3: Cross multiply
    263,272x = 408,400 × 408,400
  4. Step 4: Simplify right side
    263,272x = 166,790,560,000
  5. Step 5: Solve for x
    x = 166,790,560,000/263,272
  6. Step 6: Final answer
    x = 633,529.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.