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Finding the Third Proportional to 383,620 and 580,761

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Solution

The third proportional to 383,620 and 580,761 is: 879,212.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,620 : 580,761 = 580,761 : x
  2. Step 2: Convert to fraction form
    383,620/580,761 = 580,761/x
  3. Step 3: Cross multiply
    383,620x = 580,761 × 580,761
  4. Step 4: Simplify right side
    383,620x = 337,283,339,121
  5. Step 5: Solve for x
    x = 337,283,339,121/383,620
  6. Step 6: Final answer
    x = 879,212.08

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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.