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Finding the Third Proportional to 331,880 and 728,272

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Solution

The third proportional to 331,880 and 728,272 is: 1,598,108.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,880 : 728,272 = 728,272 : x
  2. Step 2: Convert to fraction form
    331,880/728,272 = 728,272/x
  3. Step 3: Cross multiply
    331,880x = 728,272 × 728,272
  4. Step 4: Simplify right side
    331,880x = 530,380,105,984
  5. Step 5: Solve for x
    x = 530,380,105,984/331,880
  6. Step 6: Final answer
    x = 1,598,108.07

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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.