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Finding the Third Proportional to 20,181 and 30,611

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Solution

The third proportional to 20,181 and 30,611 is: 46,431.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,181 : 30,611 = 30,611 : x
  2. Step 2: Convert to fraction form
    20,181/30,611 = 30,611/x
  3. Step 3: Cross multiply
    20,181x = 30,611 × 30,611
  4. Step 4: Simplify right side
    20,181x = 937,033,321
  5. Step 5: Solve for x
    x = 937,033,321/20,181
  6. Step 6: Final answer
    x = 46,431.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.