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Finding the Third Proportional to 271,434 and 399,042

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Solution

The third proportional to 271,434 and 399,042 is: 586,641.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,434 : 399,042 = 399,042 : x
  2. Step 2: Convert to fraction form
    271,434/399,042 = 399,042/x
  3. Step 3: Cross multiply
    271,434x = 399,042 × 399,042
  4. Step 4: Simplify right side
    271,434x = 159,234,517,764
  5. Step 5: Solve for x
    x = 159,234,517,764/271,434
  6. Step 6: Final answer
    x = 586,641.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.