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Finding the Third Proportional to 327,384 and 485,856

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Solution

The third proportional to 327,384 and 485,856 is: 721,037.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,384 : 485,856 = 485,856 : x
  2. Step 2: Convert to fraction form
    327,384/485,856 = 485,856/x
  3. Step 3: Cross multiply
    327,384x = 485,856 × 485,856
  4. Step 4: Simplify right side
    327,384x = 236,056,052,736
  5. Step 5: Solve for x
    x = 236,056,052,736/327,384
  6. Step 6: Final answer
    x = 721,037.23

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.