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Finding the Third Proportional to 383,456 and 822,424

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Solution

The third proportional to 383,456 and 822,424 is: 1,763,908.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,456 : 822,424 = 822,424 : x
  2. Step 2: Convert to fraction form
    383,456/822,424 = 822,424/x
  3. Step 3: Cross multiply
    383,456x = 822,424 × 822,424
  4. Step 4: Simplify right side
    383,456x = 676,381,235,776
  5. Step 5: Solve for x
    x = 676,381,235,776/383,456
  6. Step 6: Final answer
    x = 1,763,908.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.