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Finding the Third Proportional to 179,305 and 422,663

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Solution

The third proportional to 179,305 and 422,663 is: 996,313.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,305 : 422,663 = 422,663 : x
  2. Step 2: Convert to fraction form
    179,305/422,663 = 422,663/x
  3. Step 3: Cross multiply
    179,305x = 422,663 × 422,663
  4. Step 4: Simplify right side
    179,305x = 178,644,011,569
  5. Step 5: Solve for x
    x = 178,644,011,569/179,305
  6. Step 6: Final answer
    x = 996,313.61

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.