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Finding the Third Proportional to 179,619 and 281,767

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Solution

The third proportional to 179,619 and 281,767 is: 442,005.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,619 : 281,767 = 281,767 : x
  2. Step 2: Convert to fraction form
    179,619/281,767 = 281,767/x
  3. Step 3: Cross multiply
    179,619x = 281,767 × 281,767
  4. Step 4: Simplify right side
    179,619x = 79,392,642,289
  5. Step 5: Solve for x
    x = 79,392,642,289/179,619
  6. Step 6: Final answer
    x = 442,005.81

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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.