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Finding the Third Proportional to 179,677 and 395,811

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Solution

The third proportional to 179,677 and 395,811 is: 871,933.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,677 : 395,811 = 395,811 : x
  2. Step 2: Convert to fraction form
    179,677/395,811 = 395,811/x
  3. Step 3: Cross multiply
    179,677x = 395,811 × 395,811
  4. Step 4: Simplify right side
    179,677x = 156,666,347,721
  5. Step 5: Solve for x
    x = 156,666,347,721/179,677
  6. Step 6: Final answer
    x = 871,933.23

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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.