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Finding the Third Proportional to 263,257.50 and 408,379.50

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Solution

The third proportional to 263,257.50 and 408,379.50 is: 633,500.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,257.50 : 408,379.50 = 408,379.50 : x
  2. Step 2: Convert to fraction form
    263,257.50/408,379.50 = 408,379.50/x
  3. Step 3: Cross multiply
    263,257.50x = 408,379.50 × 408,379.50
  4. Step 4: Simplify right side
    263,257.50x = 166,773,816,020.25
  5. Step 5: Solve for x
    x = 166,773,816,020.25/263,257.50
  6. Step 6: Final answer
    x = 633,500.72

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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.