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Finding the Third Proportional to 383,211 and 580,118

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Solution

The third proportional to 383,211 and 580,118 is: 878,202.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,211 : 580,118 = 580,118 : x
  2. Step 2: Convert to fraction form
    383,211/580,118 = 580,118/x
  3. Step 3: Cross multiply
    383,211x = 580,118 × 580,118
  4. Step 4: Simplify right side
    383,211x = 336,536,893,924
  5. Step 5: Solve for x
    x = 336,536,893,924/383,211
  6. Step 6: Final answer
    x = 878,202.59

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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.