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Finding the Third Proportional to 43,857 and 66,179.25

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Solution

The third proportional to 43,857 and 66,179.25 is: 99,863.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,857 : 66,179.25 = 66,179.25 : x
  2. Step 2: Convert to fraction form
    43,857/66,179.25 = 66,179.25/x
  3. Step 3: Cross multiply
    43,857x = 66,179.25 × 66,179.25
  4. Step 4: Simplify right side
    43,857x = 4,379,693,130.56
  5. Step 5: Solve for x
    x = 4,379,693,130.56/43,857
  6. Step 6: Final answer
    x = 99,863.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.