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Finding the Third Proportional to 239,531 and 399,195

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Solution

The third proportional to 239,531 and 399,195 is: 665,286.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,531 : 399,195 = 399,195 : x
  2. Step 2: Convert to fraction form
    239,531/399,195 = 399,195/x
  3. Step 3: Cross multiply
    239,531x = 399,195 × 399,195
  4. Step 4: Simplify right side
    239,531x = 159,356,648,025
  5. Step 5: Solve for x
    x = 159,356,648,025/239,531
  6. Step 6: Final answer
    x = 665,286.11

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.