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Finding the Third Proportional to 80,872 and 172,827

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Solution

The third proportional to 80,872 and 172,827 is: 369,338.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,872 : 172,827 = 172,827 : x
  2. Step 2: Convert to fraction form
    80,872/172,827 = 172,827/x
  3. Step 3: Cross multiply
    80,872x = 172,827 × 172,827
  4. Step 4: Simplify right side
    80,872x = 29,869,171,929
  5. Step 5: Solve for x
    x = 29,869,171,929/80,872
  6. Step 6: Final answer
    x = 369,338.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.