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Finding the Third Proportional to 8,509 and 18,109

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Solution

The third proportional to 8,509 and 18,109 is: 38,539.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509 : 18,109 = 18,109 : x
  2. Step 2: Convert to fraction form
    8,509/18,109 = 18,109/x
  3. Step 3: Cross multiply
    8,509x = 18,109 × 18,109
  4. Step 4: Simplify right side
    8,509x = 327,935,881
  5. Step 5: Solve for x
    x = 327,935,881/8,509
  6. Step 6: Final answer
    x = 38,539.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.