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Finding the Third Proportional to 204,826 and 317,895

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Solution

The third proportional to 204,826 and 317,895 is: 493,380.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,826 : 317,895 = 317,895 : x
  2. Step 2: Convert to fraction form
    204,826/317,895 = 317,895/x
  3. Step 3: Cross multiply
    204,826x = 317,895 × 317,895
  4. Step 4: Simplify right side
    204,826x = 101,057,231,025
  5. Step 5: Solve for x
    x = 101,057,231,025/204,826
  6. Step 6: Final answer
    x = 493,380.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.