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Finding the Third Proportional to 81,512 and 171,872

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Solution

The third proportional to 81,512 and 171,872 is: 362,400.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,512 : 171,872 = 171,872 : x
  2. Step 2: Convert to fraction form
    81,512/171,872 = 171,872/x
  3. Step 3: Cross multiply
    81,512x = 171,872 × 171,872
  4. Step 4: Simplify right side
    81,512x = 29,539,984,384
  5. Step 5: Solve for x
    x = 29,539,984,384/81,512
  6. Step 6: Final answer
    x = 362,400.44

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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.