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Finding the Third Proportional to 43,109 and 66,905

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Solution

The third proportional to 43,109 and 66,905 is: 103,836.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,109 : 66,905 = 66,905 : x
  2. Step 2: Convert to fraction form
    43,109/66,905 = 66,905/x
  3. Step 3: Cross multiply
    43,109x = 66,905 × 66,905
  4. Step 4: Simplify right side
    43,109x = 4,476,279,025
  5. Step 5: Solve for x
    x = 4,476,279,025/43,109
  6. Step 6: Final answer
    x = 103,836.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.