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Finding the Third Proportional to 179,646 and 281,811

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Solution

The third proportional to 179,646 and 281,811 is: 442,077.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,646 : 281,811 = 281,811 : x
  2. Step 2: Convert to fraction form
    179,646/281,811 = 281,811/x
  3. Step 3: Cross multiply
    179,646x = 281,811 × 281,811
  4. Step 4: Simplify right side
    179,646x = 79,417,439,721
  5. Step 5: Solve for x
    x = 79,417,439,721/179,646
  6. Step 6: Final answer
    x = 442,077.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.