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Finding the Third Proportional to 247,682 and 393,622

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Solution

The third proportional to 247,682 and 393,622 is: 625,553.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,682 : 393,622 = 393,622 : x
  2. Step 2: Convert to fraction form
    247,682/393,622 = 393,622/x
  3. Step 3: Cross multiply
    247,682x = 393,622 × 393,622
  4. Step 4: Simplify right side
    247,682x = 154,938,278,884
  5. Step 5: Solve for x
    x = 154,938,278,884/247,682
  6. Step 6: Final answer
    x = 625,553.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.