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Finding the Third Proportional to 332,600 and 731,632

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Solution

The third proportional to 332,600 and 731,632 is: 1,609,396.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,600 : 731,632 = 731,632 : x
  2. Step 2: Convert to fraction form
    332,600/731,632 = 731,632/x
  3. Step 3: Cross multiply
    332,600x = 731,632 × 731,632
  4. Step 4: Simplify right side
    332,600x = 535,285,383,424
  5. Step 5: Solve for x
    x = 535,285,383,424/332,600
  6. Step 6: Final answer
    x = 1,609,396.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.