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Finding the Third Proportional to 18,091 and 39,109

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Solution

The third proportional to 18,091 and 39,109 is: 84,545.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,091 : 39,109 = 39,109 : x
  2. Step 2: Convert to fraction form
    18,091/39,109 = 39,109/x
  3. Step 3: Cross multiply
    18,091x = 39,109 × 39,109
  4. Step 4: Simplify right side
    18,091x = 1,529,513,881
  5. Step 5: Solve for x
    x = 1,529,513,881/18,091
  6. Step 6: Final answer
    x = 84,545.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.