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Finding the Third Proportional to 263,855 and 408,815

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Solution

The third proportional to 263,855 and 408,815 is: 633,414.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,855 : 408,815 = 408,815 : x
  2. Step 2: Convert to fraction form
    263,855/408,815 = 408,815/x
  3. Step 3: Cross multiply
    263,855x = 408,815 × 408,815
  4. Step 4: Simplify right side
    263,855x = 167,129,704,225
  5. Step 5: Solve for x
    x = 167,129,704,225/263,855
  6. Step 6: Final answer
    x = 633,414.96

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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.