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Finding the Third Proportional to 386,622 and 851,733

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Solution

The third proportional to 386,622 and 851,733 is: 1,876,378.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,622 : 851,733 = 851,733 : x
  2. Step 2: Convert to fraction form
    386,622/851,733 = 851,733/x
  3. Step 3: Cross multiply
    386,622x = 851,733 × 851,733
  4. Step 4: Simplify right side
    386,622x = 725,449,103,289
  5. Step 5: Solve for x
    x = 725,449,103,289/386,622
  6. Step 6: Final answer
    x = 1,876,378.23

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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.