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Finding the Third Proportional to 211,891 and 457,398

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Solution

The third proportional to 211,891 and 457,398 is: 987,361.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,891 : 457,398 = 457,398 : x
  2. Step 2: Convert to fraction form
    211,891/457,398 = 457,398/x
  3. Step 3: Cross multiply
    211,891x = 457,398 × 457,398
  4. Step 4: Simplify right side
    211,891x = 209,212,930,404
  5. Step 5: Solve for x
    x = 209,212,930,404/211,891
  6. Step 6: Final answer
    x = 987,361.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.