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Finding the Third Proportional to 81,999 and 177,599.25

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Solution

The third proportional to 81,999 and 177,599.25 is: 384,657.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,999 : 177,599.25 = 177,599.25 : x
  2. Step 2: Convert to fraction form
    81,999/177,599.25 = 177,599.25/x
  3. Step 3: Cross multiply
    81,999x = 177,599.25 × 177,599.25
  4. Step 4: Simplify right side
    81,999x = 31,541,493,600.56
  5. Step 5: Solve for x
    x = 31,541,493,600.56/81,999
  6. Step 6: Final answer
    x = 384,657.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.