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Finding the Third Proportional to 81,032 and 168,517

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Solution

The third proportional to 81,032 and 168,517 is: 350,453.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,032 : 168,517 = 168,517 : x
  2. Step 2: Convert to fraction form
    81,032/168,517 = 168,517/x
  3. Step 3: Cross multiply
    81,032x = 168,517 × 168,517
  4. Step 4: Simplify right side
    81,032x = 28,397,979,289
  5. Step 5: Solve for x
    x = 28,397,979,289/81,032
  6. Step 6: Final answer
    x = 350,453.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.