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Finding the Third Proportional to 99,891 and 213,999

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Solution

The third proportional to 99,891 and 213,999 is: 458,455.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,891 : 213,999 = 213,999 : x
  2. Step 2: Convert to fraction form
    99,891/213,999 = 213,999/x
  3. Step 3: Cross multiply
    99,891x = 213,999 × 213,999
  4. Step 4: Simplify right side
    99,891x = 45,795,572,001
  5. Step 5: Solve for x
    x = 45,795,572,001/99,891
  6. Step 6: Final answer
    x = 458,455.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.