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Finding the Third Proportional to 263,640 and 408,567

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Solution

The third proportional to 263,640 and 408,567 is: 633,162.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,640 : 408,567 = 408,567 : x
  2. Step 2: Convert to fraction form
    263,640/408,567 = 408,567/x
  3. Step 3: Cross multiply
    263,640x = 408,567 × 408,567
  4. Step 4: Simplify right side
    263,640x = 166,926,993,489
  5. Step 5: Solve for x
    x = 166,926,993,489/263,640
  6. Step 6: Final answer
    x = 633,162.62

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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.