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Finding the Third Proportional to 102,067 and 221,661

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Solution

The third proportional to 102,067 and 221,661 is: 481,385.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,067 : 221,661 = 221,661 : x
  2. Step 2: Convert to fraction form
    102,067/221,661 = 221,661/x
  3. Step 3: Cross multiply
    102,067x = 221,661 × 221,661
  4. Step 4: Simplify right side
    102,067x = 49,133,598,921
  5. Step 5: Solve for x
    x = 49,133,598,921/102,067
  6. Step 6: Final answer
    x = 481,385.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.