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Finding the Third Proportional to 43,285 and 67,661

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Solution

The third proportional to 43,285 and 67,661 is: 105,764.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,285 : 67,661 = 67,661 : x
  2. Step 2: Convert to fraction form
    43,285/67,661 = 67,661/x
  3. Step 3: Cross multiply
    43,285x = 67,661 × 67,661
  4. Step 4: Simplify right side
    43,285x = 4,578,010,921
  5. Step 5: Solve for x
    x = 4,578,010,921/43,285
  6. Step 6: Final answer
    x = 105,764.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.