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Finding the Third Proportional to 381,772 and 814,100

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Solution

The third proportional to 381,772 and 814,100 is: 1,736,006.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,772 : 814,100 = 814,100 : x
  2. Step 2: Convert to fraction form
    381,772/814,100 = 814,100/x
  3. Step 3: Cross multiply
    381,772x = 814,100 × 814,100
  4. Step 4: Simplify right side
    381,772x = 662,758,810,000
  5. Step 5: Solve for x
    x = 662,758,810,000/381,772
  6. Step 6: Final answer
    x = 1,736,006.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.