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Finding the Third Proportional to 332,935.50 and 733,734

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Solution

The third proportional to 332,935.50 and 733,734 is: 1,617,026.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,935.50 : 733,734 = 733,734 : x
  2. Step 2: Convert to fraction form
    332,935.50/733,734 = 733,734/x
  3. Step 3: Cross multiply
    332,935.50x = 733,734 × 733,734
  4. Step 4: Simplify right side
    332,935.50x = 538,365,582,756
  5. Step 5: Solve for x
    x = 538,365,582,756/332,935.50
  6. Step 6: Final answer
    x = 1,617,026.67

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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.