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Finding the Third Proportional to 66,338 and 138,825

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Solution

The third proportional to 66,338 and 138,825 is: 290,517.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,338 : 138,825 = 138,825 : x
  2. Step 2: Convert to fraction form
    66,338/138,825 = 138,825/x
  3. Step 3: Cross multiply
    66,338x = 138,825 × 138,825
  4. Step 4: Simplify right side
    66,338x = 19,272,380,625
  5. Step 5: Solve for x
    x = 19,272,380,625/66,338
  6. Step 6: Final answer
    x = 290,517.96

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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.