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Finding the Third Proportional to 204,632 and 315,699

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Solution

The third proportional to 204,632 and 315,699 is: 487,049.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,632 : 315,699 = 315,699 : x
  2. Step 2: Convert to fraction form
    204,632/315,699 = 315,699/x
  3. Step 3: Cross multiply
    204,632x = 315,699 × 315,699
  4. Step 4: Simplify right side
    204,632x = 99,665,858,601
  5. Step 5: Solve for x
    x = 99,665,858,601/204,632
  6. Step 6: Final answer
    x = 487,049.23

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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.