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Finding the Third Proportional to 18,157 and 39,329

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Solution

The third proportional to 18,157 and 39,329 is: 85,188.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,157 : 39,329 = 39,329 : x
  2. Step 2: Convert to fraction form
    18,157/39,329 = 39,329/x
  3. Step 3: Cross multiply
    18,157x = 39,329 × 39,329
  4. Step 4: Simplify right side
    18,157x = 1,546,770,241
  5. Step 5: Solve for x
    x = 1,546,770,241/18,157
  6. Step 6: Final answer
    x = 85,188.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.