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Finding the Third Proportional to 18,005 and 38,611

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Solution

The third proportional to 18,005 and 38,611 is: 82,799.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,005 : 38,611 = 38,611 : x
  2. Step 2: Convert to fraction form
    18,005/38,611 = 38,611/x
  3. Step 3: Cross multiply
    18,005x = 38,611 × 38,611
  4. Step 4: Simplify right side
    18,005x = 1,490,809,321
  5. Step 5: Solve for x
    x = 1,490,809,321/18,005
  6. Step 6: Final answer
    x = 82,799.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.