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Finding the Third Proportional to 85,539 and 187,845

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Solution

The third proportional to 85,539 and 187,845 is: 412,510.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,539 : 187,845 = 187,845 : x
  2. Step 2: Convert to fraction form
    85,539/187,845 = 187,845/x
  3. Step 3: Cross multiply
    85,539x = 187,845 × 187,845
  4. Step 4: Simplify right side
    85,539x = 35,285,744,025
  5. Step 5: Solve for x
    x = 35,285,744,025/85,539
  6. Step 6: Final answer
    x = 412,510.60

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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.