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Finding the Third Proportional to 43,105 and 66,899

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Solution

The third proportional to 43,105 and 66,899 is: 103,827.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,105 : 66,899 = 66,899 : x
  2. Step 2: Convert to fraction form
    43,105/66,899 = 66,899/x
  3. Step 3: Cross multiply
    43,105x = 66,899 × 66,899
  4. Step 4: Simplify right side
    43,105x = 4,475,476,201
  5. Step 5: Solve for x
    x = 4,475,476,201/43,105
  6. Step 6: Final answer
    x = 103,827.31

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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.