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Finding the Third Proportional to 331,912 and 728,336

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Solution

The third proportional to 331,912 and 728,336 is: 1,598,234.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,912 : 728,336 = 728,336 : x
  2. Step 2: Convert to fraction form
    331,912/728,336 = 728,336/x
  3. Step 3: Cross multiply
    331,912x = 728,336 × 728,336
  4. Step 4: Simplify right side
    331,912x = 530,473,328,896
  5. Step 5: Solve for x
    x = 530,473,328,896/331,912
  6. Step 6: Final answer
    x = 1,598,234.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.