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Finding the Third Proportional to 383,638 and 580,787.50

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Solution

The third proportional to 383,638 and 580,787.50 is: 879,251.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,638 : 580,787.50 = 580,787.50 : x
  2. Step 2: Convert to fraction form
    383,638/580,787.50 = 580,787.50/x
  3. Step 3: Cross multiply
    383,638x = 580,787.50 × 580,787.50
  4. Step 4: Simplify right side
    383,638x = 337,314,120,156.25
  5. Step 5: Solve for x
    x = 337,314,120,156.25/383,638
  6. Step 6: Final answer
    x = 879,251.07

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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.