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Finding the Third Proportional to 115,431 and 177,186

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Solution

The third proportional to 115,431 and 177,186 is: 271,979.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,431 : 177,186 = 177,186 : x
  2. Step 2: Convert to fraction form
    115,431/177,186 = 177,186/x
  3. Step 3: Cross multiply
    115,431x = 177,186 × 177,186
  4. Step 4: Simplify right side
    115,431x = 31,394,878,596
  5. Step 5: Solve for x
    x = 31,394,878,596/115,431
  6. Step 6: Final answer
    x = 271,979.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.