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Finding the Third Proportional to 311,218 and 494,042

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Solution

The third proportional to 311,218 and 494,042 is: 784,265.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,218 : 494,042 = 494,042 : x
  2. Step 2: Convert to fraction form
    311,218/494,042 = 494,042/x
  3. Step 3: Cross multiply
    311,218x = 494,042 × 494,042
  4. Step 4: Simplify right side
    311,218x = 244,077,497,764
  5. Step 5: Solve for x
    x = 244,077,497,764/311,218
  6. Step 6: Final answer
    x = 784,265.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.