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Finding the Third Proportional to 18,738 and 26,109

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Solution

The third proportional to 18,738 and 26,109 is: 36,379.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,738 : 26,109 = 26,109 : x
  2. Step 2: Convert to fraction form
    18,738/26,109 = 26,109/x
  3. Step 3: Cross multiply
    18,738x = 26,109 × 26,109
  4. Step 4: Simplify right side
    18,738x = 681,679,881
  5. Step 5: Solve for x
    x = 681,679,881/18,738
  6. Step 6: Final answer
    x = 36,379.54

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.