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Finding the Third Proportional to 263,766.38 and 408,680.44

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Solution

The third proportional to 263,766.38 and 408,680.44 is: 633,210.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,766.38 : 408,680.44 = 408,680.44 : x
  2. Step 2: Convert to fraction form
    263,766.38/408,680.44 = 408,680.44/x
  3. Step 3: Cross multiply
    263,766.38x = 408,680.44 × 408,680.44
  4. Step 4: Simplify right side
    263,766.38x = 167,019,699,995.19
  5. Step 5: Solve for x
    x = 167,019,699,995.19/263,766.38
  6. Step 6: Final answer
    x = 633,210.73

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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.