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Finding the Third Proportional to 179,409 and 422,917

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Solution

The third proportional to 179,409 and 422,917 is: 996,933.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,409 : 422,917 = 422,917 : x
  2. Step 2: Convert to fraction form
    179,409/422,917 = 422,917/x
  3. Step 3: Cross multiply
    179,409x = 422,917 × 422,917
  4. Step 4: Simplify right side
    179,409x = 178,858,788,889
  5. Step 5: Solve for x
    x = 178,858,788,889/179,409
  6. Step 6: Final answer
    x = 996,933.20

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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.