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Finding the Third Proportional to 99,915 and 209,067

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Solution

The third proportional to 99,915 and 209,067 is: 437,461.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,915 : 209,067 = 209,067 : x
  2. Step 2: Convert to fraction form
    99,915/209,067 = 209,067/x
  3. Step 3: Cross multiply
    99,915x = 209,067 × 209,067
  4. Step 4: Simplify right side
    99,915x = 43,709,010,489
  5. Step 5: Solve for x
    x = 43,709,010,489/99,915
  6. Step 6: Final answer
    x = 437,461.95

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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.