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Finding the Third Proportional to 383,209 and 580,115

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Solution

The third proportional to 383,209 and 580,115 is: 878,198.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,209 : 580,115 = 580,115 : x
  2. Step 2: Convert to fraction form
    383,209/580,115 = 580,115/x
  3. Step 3: Cross multiply
    383,209x = 580,115 × 580,115
  4. Step 4: Simplify right side
    383,209x = 336,533,413,225
  5. Step 5: Solve for x
    x = 336,533,413,225/383,209
  6. Step 6: Final answer
    x = 878,198.09

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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.