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Finding the Third Proportional to 69,722 and 165,665

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Solution

The third proportional to 69,722 and 165,665 is: 393,633.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,722 : 165,665 = 165,665 : x
  2. Step 2: Convert to fraction form
    69,722/165,665 = 165,665/x
  3. Step 3: Cross multiply
    69,722x = 165,665 × 165,665
  4. Step 4: Simplify right side
    69,722x = 27,444,892,225
  5. Step 5: Solve for x
    x = 27,444,892,225/69,722
  6. Step 6: Final answer
    x = 393,633.17

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.