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Finding the Third Proportional to 332,300.50 and 731,057

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Solution

The third proportional to 332,300.50 and 731,057 is: 1,608,316.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,300.50 : 731,057 = 731,057 : x
  2. Step 2: Convert to fraction form
    332,300.50/731,057 = 731,057/x
  3. Step 3: Cross multiply
    332,300.50x = 731,057 × 731,057
  4. Step 4: Simplify right side
    332,300.50x = 534,444,337,249
  5. Step 5: Solve for x
    x = 534,444,337,249/332,300.50
  6. Step 6: Final answer
    x = 1,608,316.38

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