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Finding the Third Proportional to 206,589 and 318,996

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Solution

The third proportional to 206,589 and 318,996 is: 492,564.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,589 : 318,996 = 318,996 : x
  2. Step 2: Convert to fraction form
    206,589/318,996 = 318,996/x
  3. Step 3: Cross multiply
    206,589x = 318,996 × 318,996
  4. Step 4: Simplify right side
    206,589x = 101,758,448,016
  5. Step 5: Solve for x
    x = 101,758,448,016/206,589
  6. Step 6: Final answer
    x = 492,564.70

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Why These Related Problems?

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