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Finding the Third Proportional to 85,538 and 187,843

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Solution

The third proportional to 85,538 and 187,843 is: 412,506.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,538 : 187,843 = 187,843 : x
  2. Step 2: Convert to fraction form
    85,538/187,843 = 187,843/x
  3. Step 3: Cross multiply
    85,538x = 187,843 × 187,843
  4. Step 4: Simplify right side
    85,538x = 35,284,992,649
  5. Step 5: Solve for x
    x = 35,284,992,649/85,538
  6. Step 6: Final answer
    x = 412,506.64

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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.