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Finding the Third Proportional to 81,814 and 172,376

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Solution

The third proportional to 81,814 and 172,376 is: 363,183.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,814 : 172,376 = 172,376 : x
  2. Step 2: Convert to fraction form
    81,814/172,376 = 172,376/x
  3. Step 3: Cross multiply
    81,814x = 172,376 × 172,376
  4. Step 4: Simplify right side
    81,814x = 29,713,485,376
  5. Step 5: Solve for x
    x = 29,713,485,376/81,814
  6. Step 6: Final answer
    x = 363,183.38

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.