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Finding the Third Proportional to 81,405 and 177,147

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Solution

The third proportional to 81,405 and 177,147 is: 385,493.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,405 : 177,147 = 177,147 : x
  2. Step 2: Convert to fraction form
    81,405/177,147 = 177,147/x
  3. Step 3: Cross multiply
    81,405x = 177,147 × 177,147
  4. Step 4: Simplify right side
    81,405x = 31,381,059,609
  5. Step 5: Solve for x
    x = 31,381,059,609/81,405
  6. Step 6: Final answer
    x = 385,493.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.