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Finding the Third Proportional to 84,289 and 179,305

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Solution

The third proportional to 84,289 and 179,305 is: 381,429.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,289 : 179,305 = 179,305 : x
  2. Step 2: Convert to fraction form
    84,289/179,305 = 179,305/x
  3. Step 3: Cross multiply
    84,289x = 179,305 × 179,305
  4. Step 4: Simplify right side
    84,289x = 32,150,283,025
  5. Step 5: Solve for x
    x = 32,150,283,025/84,289
  6. Step 6: Final answer
    x = 381,429.17

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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.