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Finding the Third Proportional to 80,530 and 171,431

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Solution

The third proportional to 80,530 and 171,431 is: 364,939.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,530 : 171,431 = 171,431 : x
  2. Step 2: Convert to fraction form
    80,530/171,431 = 171,431/x
  3. Step 3: Cross multiply
    80,530x = 171,431 × 171,431
  4. Step 4: Simplify right side
    80,530x = 29,388,587,761
  5. Step 5: Solve for x
    x = 29,388,587,761/80,530
  6. Step 6: Final answer
    x = 364,939.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.