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Finding the Third Proportional to 383,221.50 and 580,137

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Solution

The third proportional to 383,221.50 and 580,137 is: 878,236.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,221.50 : 580,137 = 580,137 : x
  2. Step 2: Convert to fraction form
    383,221.50/580,137 = 580,137/x
  3. Step 3: Cross multiply
    383,221.50x = 580,137 × 580,137
  4. Step 4: Simplify right side
    383,221.50x = 336,558,938,769
  5. Step 5: Solve for x
    x = 336,558,938,769/383,221.50
  6. Step 6: Final answer
    x = 878,236.06

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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.