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Finding the Third Proportional to 3,870 and 8,109

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Solution

The third proportional to 3,870 and 8,109 is: 16,991.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870 : 8,109 = 8,109 : x
  2. Step 2: Convert to fraction form
    3,870/8,109 = 8,109/x
  3. Step 3: Cross multiply
    3,870x = 8,109 × 8,109
  4. Step 4: Simplify right side
    3,870x = 65,755,881
  5. Step 5: Solve for x
    x = 65,755,881/3,870
  6. Step 6: Final answer
    x = 16,991.18

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.