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Finding the Third Proportional to 218,717 and 454,883

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Solution

The third proportional to 218,717 and 454,883 is: 946,056.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,717 : 454,883 = 454,883 : x
  2. Step 2: Convert to fraction form
    218,717/454,883 = 454,883/x
  3. Step 3: Cross multiply
    218,717x = 454,883 × 454,883
  4. Step 4: Simplify right side
    218,717x = 206,918,543,689
  5. Step 5: Solve for x
    x = 206,918,543,689/218,717
  6. Step 6: Final answer
    x = 946,056.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.