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Finding the Third Proportional to 204,671 and 315,755

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Solution

The third proportional to 204,671 and 315,755 is: 487,129.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,671 : 315,755 = 315,755 : x
  2. Step 2: Convert to fraction form
    204,671/315,755 = 315,755/x
  3. Step 3: Cross multiply
    204,671x = 315,755 × 315,755
  4. Step 4: Simplify right side
    204,671x = 99,701,220,025
  5. Step 5: Solve for x
    x = 99,701,220,025/204,671
  6. Step 6: Final answer
    x = 487,129.20

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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.