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Finding the Third Proportional to 42,223 and 66,857

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Solution

The third proportional to 42,223 and 66,857 is: 105,863.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,223 : 66,857 = 66,857 : x
  2. Step 2: Convert to fraction form
    42,223/66,857 = 66,857/x
  3. Step 3: Cross multiply
    42,223x = 66,857 × 66,857
  4. Step 4: Simplify right side
    42,223x = 4,469,858,449
  5. Step 5: Solve for x
    x = 4,469,858,449/42,223
  6. Step 6: Final answer
    x = 105,863.12

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.