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Finding the Third Proportional to 204,689 and 315,795

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Solution

The third proportional to 204,689 and 315,795 is: 487,209.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,689 : 315,795 = 315,795 : x
  2. Step 2: Convert to fraction form
    204,689/315,795 = 315,795/x
  3. Step 3: Cross multiply
    204,689x = 315,795 × 315,795
  4. Step 4: Simplify right side
    204,689x = 99,726,482,025
  5. Step 5: Solve for x
    x = 99,726,482,025/204,689
  6. Step 6: Final answer
    x = 487,209.78

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.