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Finding the Third Proportional to 66,109 and 135,738

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Solution

The third proportional to 66,109 and 135,738 is: 278,703.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,109 : 135,738 = 135,738 : x
  2. Step 2: Convert to fraction form
    66,109/135,738 = 135,738/x
  3. Step 3: Cross multiply
    66,109x = 135,738 × 135,738
  4. Step 4: Simplify right side
    66,109x = 18,424,804,644
  5. Step 5: Solve for x
    x = 18,424,804,644/66,109
  6. Step 6: Final answer
    x = 278,703.42

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.