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Finding the Third Proportional to 199,789 and 281,037

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Solution

The third proportional to 199,789 and 281,037 is: 395,326.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,789 : 281,037 = 281,037 : x
  2. Step 2: Convert to fraction form
    199,789/281,037 = 281,037/x
  3. Step 3: Cross multiply
    199,789x = 281,037 × 281,037
  4. Step 4: Simplify right side
    199,789x = 78,981,795,369
  5. Step 5: Solve for x
    x = 78,981,795,369/199,789
  6. Step 6: Final answer
    x = 395,326.05

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.