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Finding the Third Proportional to 18,515 and 39,766

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Solution

The third proportional to 18,515 and 39,766 is: 85,408.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,515 : 39,766 = 39,766 : x
  2. Step 2: Convert to fraction form
    18,515/39,766 = 39,766/x
  3. Step 3: Cross multiply
    18,515x = 39,766 × 39,766
  4. Step 4: Simplify right side
    18,515x = 1,581,334,756
  5. Step 5: Solve for x
    x = 1,581,334,756/18,515
  6. Step 6: Final answer
    x = 85,408.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.