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Finding the Third Proportional to 209,938 and 454,868

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Solution

The third proportional to 209,938 and 454,868 is: 985,552.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,938 : 454,868 = 454,868 : x
  2. Step 2: Convert to fraction form
    209,938/454,868 = 454,868/x
  3. Step 3: Cross multiply
    209,938x = 454,868 × 454,868
  4. Step 4: Simplify right side
    209,938x = 206,904,897,424
  5. Step 5: Solve for x
    x = 206,904,897,424/209,938
  6. Step 6: Final answer
    x = 985,552.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.