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Finding the Third Proportional to 217,278 and 454,398

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Solution

The third proportional to 217,278 and 454,398 is: 950,291.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,278 : 454,398 = 454,398 : x
  2. Step 2: Convert to fraction form
    217,278/454,398 = 454,398/x
  3. Step 3: Cross multiply
    217,278x = 454,398 × 454,398
  4. Step 4: Simplify right side
    217,278x = 206,477,542,404
  5. Step 5: Solve for x
    x = 206,477,542,404/217,278
  6. Step 6: Final answer
    x = 950,291.99

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.