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Finding the Third Proportional to 383,377.50 and 580,439.25

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Solution

The third proportional to 383,377.50 and 580,439.25 is: 878,793.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,377.50 : 580,439.25 = 580,439.25 : x
  2. Step 2: Convert to fraction form
    383,377.50/580,439.25 = 580,439.25/x
  3. Step 3: Cross multiply
    383,377.50x = 580,439.25 × 580,439.25
  4. Step 4: Simplify right side
    383,377.50x = 336,909,722,940.56
  5. Step 5: Solve for x
    x = 336,909,722,940.56/383,377.50
  6. Step 6: Final answer
    x = 878,793.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.