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Finding the Third Proportional to 263,898 and 408,888

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Solution

The third proportional to 263,898 and 408,888 is: 633,537.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,898 : 408,888 = 408,888 : x
  2. Step 2: Convert to fraction form
    263,898/408,888 = 408,888/x
  3. Step 3: Cross multiply
    263,898x = 408,888 × 408,888
  4. Step 4: Simplify right side
    263,898x = 167,189,396,544
  5. Step 5: Solve for x
    x = 167,189,396,544/263,898
  6. Step 6: Final answer
    x = 633,537.94

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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.