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Finding the Third Proportional to 394,483 and 862,622

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Solution

The third proportional to 394,483 and 862,622 is: 1,886,308.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,483 : 862,622 = 862,622 : x
  2. Step 2: Convert to fraction form
    394,483/862,622 = 862,622/x
  3. Step 3: Cross multiply
    394,483x = 862,622 × 862,622
  4. Step 4: Simplify right side
    394,483x = 744,116,714,884
  5. Step 5: Solve for x
    x = 744,116,714,884/394,483
  6. Step 6: Final answer
    x = 1,886,308.70

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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.