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Finding the Third Proportional to 20,109 and 40,765

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Solution

The third proportional to 20,109 and 40,765 is: 82,638.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,109 : 40,765 = 40,765 : x
  2. Step 2: Convert to fraction form
    20,109/40,765 = 40,765/x
  3. Step 3: Cross multiply
    20,109x = 40,765 × 40,765
  4. Step 4: Simplify right side
    20,109x = 1,661,785,225
  5. Step 5: Solve for x
    x = 1,661,785,225/20,109
  6. Step 6: Final answer
    x = 82,638.88

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.