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Finding the Third Proportional to 179,894 and 396,009

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Solution

The third proportional to 179,894 and 396,009 is: 871,752.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,894 : 396,009 = 396,009 : x
  2. Step 2: Convert to fraction form
    179,894/396,009 = 396,009/x
  3. Step 3: Cross multiply
    179,894x = 396,009 × 396,009
  4. Step 4: Simplify right side
    179,894x = 156,823,128,081
  5. Step 5: Solve for x
    x = 156,823,128,081/179,894
  6. Step 6: Final answer
    x = 871,752.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.