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Finding the Third Proportional to 31,891 and 69,611

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Solution

The third proportional to 31,891 and 69,611 is: 151,945.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,891 : 69,611 = 69,611 : x
  2. Step 2: Convert to fraction form
    31,891/69,611 = 69,611/x
  3. Step 3: Cross multiply
    31,891x = 69,611 × 69,611
  4. Step 4: Simplify right side
    31,891x = 4,845,691,321
  5. Step 5: Solve for x
    x = 4,845,691,321/31,891
  6. Step 6: Final answer
    x = 151,945.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.