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Finding the Third Proportional to 263,768 and 408,684

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Solution

The third proportional to 263,768 and 408,684 is: 633,217.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,768 : 408,684 = 408,684 : x
  2. Step 2: Convert to fraction form
    263,768/408,684 = 408,684/x
  3. Step 3: Cross multiply
    263,768x = 408,684 × 408,684
  4. Step 4: Simplify right side
    263,768x = 167,022,611,856
  5. Step 5: Solve for x
    x = 167,022,611,856/263,768
  6. Step 6: Final answer
    x = 633,217.87

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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.