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Finding the Third Proportional to 332,608 and 731,648

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Solution

The third proportional to 332,608 and 731,648 is: 1,609,428.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,608 : 731,648 = 731,648 : x
  2. Step 2: Convert to fraction form
    332,608/731,648 = 731,648/x
  3. Step 3: Cross multiply
    332,608x = 731,648 × 731,648
  4. Step 4: Simplify right side
    332,608x = 535,308,795,904
  5. Step 5: Solve for x
    x = 535,308,795,904/332,608
  6. Step 6: Final answer
    x = 1,609,428.50

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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.