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Finding the Third Proportional to 99,854 and 211,966

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Solution

The third proportional to 99,854 and 211,966 is: 449,952.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,854 : 211,966 = 211,966 : x
  2. Step 2: Convert to fraction form
    99,854/211,966 = 211,966/x
  3. Step 3: Cross multiply
    99,854x = 211,966 × 211,966
  4. Step 4: Simplify right side
    99,854x = 44,929,585,156
  5. Step 5: Solve for x
    x = 44,929,585,156/99,854
  6. Step 6: Final answer
    x = 449,952.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.