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Finding the Third Proportional to 319,634 and 694,564

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Solution

The third proportional to 319,634 and 694,564 is: 1,509,286.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,634 : 694,564 = 694,564 : x
  2. Step 2: Convert to fraction form
    319,634/694,564 = 694,564/x
  3. Step 3: Cross multiply
    319,634x = 694,564 × 694,564
  4. Step 4: Simplify right side
    319,634x = 482,419,150,096
  5. Step 5: Solve for x
    x = 482,419,150,096/319,634
  6. Step 6: Final answer
    x = 1,509,286.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.