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Finding the Third Proportional to 154,819 and 316,198

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Solution

The third proportional to 154,819 and 316,198 is: 645,793.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,819 : 316,198 = 316,198 : x
  2. Step 2: Convert to fraction form
    154,819/316,198 = 316,198/x
  3. Step 3: Cross multiply
    154,819x = 316,198 × 316,198
  4. Step 4: Simplify right side
    154,819x = 99,981,175,204
  5. Step 5: Solve for x
    x = 99,981,175,204/154,819
  6. Step 6: Final answer
    x = 645,793.96

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.