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Finding the Third Proportional to 99,917 and 212,551

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Solution

The third proportional to 99,917 and 212,551 is: 452,154.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,917 : 212,551 = 212,551 : x
  2. Step 2: Convert to fraction form
    99,917/212,551 = 212,551/x
  3. Step 3: Cross multiply
    99,917x = 212,551 × 212,551
  4. Step 4: Simplify right side
    99,917x = 45,177,927,601
  5. Step 5: Solve for x
    x = 45,177,927,601/99,917
  6. Step 6: Final answer
    x = 452,154.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.