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Finding the Third Proportional to 85,536 and 187,839

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Solution

The third proportional to 85,536 and 187,839 is: 412,498.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,536 : 187,839 = 187,839 : x
  2. Step 2: Convert to fraction form
    85,536/187,839 = 187,839/x
  3. Step 3: Cross multiply
    85,536x = 187,839 × 187,839
  4. Step 4: Simplify right side
    85,536x = 35,283,489,921
  5. Step 5: Solve for x
    x = 35,283,489,921/85,536
  6. Step 6: Final answer
    x = 412,498.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.