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Finding the Third Proportional to 386,733 and 847,812

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Solution

The third proportional to 386,733 and 847,812 is: 1,858,608.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,733 : 847,812 = 847,812 : x
  2. Step 2: Convert to fraction form
    386,733/847,812 = 847,812/x
  3. Step 3: Cross multiply
    386,733x = 847,812 × 847,812
  4. Step 4: Simplify right side
    386,733x = 718,785,187,344
  5. Step 5: Solve for x
    x = 718,785,187,344/386,733
  6. Step 6: Final answer
    x = 1,858,608.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.