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Finding the Third Proportional to 381,800 and 822,608

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Solution

The third proportional to 381,800 and 822,608 is: 1,772,351.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,800 : 822,608 = 822,608 : x
  2. Step 2: Convert to fraction form
    381,800/822,608 = 822,608/x
  3. Step 3: Cross multiply
    381,800x = 822,608 × 822,608
  4. Step 4: Simplify right side
    381,800x = 676,683,921,664
  5. Step 5: Solve for x
    x = 676,683,921,664/381,800
  6. Step 6: Final answer
    x = 1,772,351.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.