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Finding the Third Proportional to 383,205 and 580,109

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Solution

The third proportional to 383,205 and 580,109 is: 878,189.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,205 : 580,109 = 580,109 : x
  2. Step 2: Convert to fraction form
    383,205/580,109 = 580,109/x
  3. Step 3: Cross multiply
    383,205x = 580,109 × 580,109
  4. Step 4: Simplify right side
    383,205x = 336,526,451,881
  5. Step 5: Solve for x
    x = 336,526,451,881/383,205
  6. Step 6: Final answer
    x = 878,189.09

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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.