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Finding the Third Proportional to 381,912 and 840,096

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Solution

The third proportional to 381,912 and 840,096 is: 1,847,968.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,912 : 840,096 = 840,096 : x
  2. Step 2: Convert to fraction form
    381,912/840,096 = 840,096/x
  3. Step 3: Cross multiply
    381,912x = 840,096 × 840,096
  4. Step 4: Simplify right side
    381,912x = 705,761,289,216
  5. Step 5: Solve for x
    x = 705,761,289,216/381,912
  6. Step 6: Final answer
    x = 1,847,968.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.