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Finding the Third Proportional to 9,109 and 19,865

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Solution

The third proportional to 9,109 and 19,865 is: 43,321.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109 : 19,865 = 19,865 : x
  2. Step 2: Convert to fraction form
    9,109/19,865 = 19,865/x
  3. Step 3: Cross multiply
    9,109x = 19,865 × 19,865
  4. Step 4: Simplify right side
    9,109x = 394,618,225
  5. Step 5: Solve for x
    x = 394,618,225/9,109
  6. Step 6: Final answer
    x = 43,321.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.