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Finding the Third Proportional to 386,638 and 851,762

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Solution

The third proportional to 386,638 and 851,762 is: 1,876,428.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,638 : 851,762 = 851,762 : x
  2. Step 2: Convert to fraction form
    386,638/851,762 = 851,762/x
  3. Step 3: Cross multiply
    386,638x = 851,762 × 851,762
  4. Step 4: Simplify right side
    386,638x = 725,498,504,644
  5. Step 5: Solve for x
    x = 725,498,504,644/386,638
  6. Step 6: Final answer
    x = 1,876,428.35

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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.