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Finding the Third Proportional to 263,733 and 408,630

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Solution

The third proportional to 263,733 and 408,630 is: 633,134.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,733 : 408,630 = 408,630 : x
  2. Step 2: Convert to fraction form
    263,733/408,630 = 408,630/x
  3. Step 3: Cross multiply
    263,733x = 408,630 × 408,630
  4. Step 4: Simplify right side
    263,733x = 166,978,476,900
  5. Step 5: Solve for x
    x = 166,978,476,900/263,733
  6. Step 6: Final answer
    x = 633,134.56

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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.