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Finding the Third Proportional to 9,639 and 20,115

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Solution

The third proportional to 9,639 and 20,115 is: 41,976.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,639 : 20,115 = 20,115 : x
  2. Step 2: Convert to fraction form
    9,639/20,115 = 20,115/x
  3. Step 3: Cross multiply
    9,639x = 20,115 × 20,115
  4. Step 4: Simplify right side
    9,639x = 404,613,225
  5. Step 5: Solve for x
    x = 404,613,225/9,639
  6. Step 6: Final answer
    x = 41,976.68

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.