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Finding the Third Proportional to 332,757 and 728,485.50

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Solution

The third proportional to 332,757 and 728,485.50 is: 1,594,830.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,757 : 728,485.50 = 728,485.50 : x
  2. Step 2: Convert to fraction form
    332,757/728,485.50 = 728,485.50/x
  3. Step 3: Cross multiply
    332,757x = 728,485.50 × 728,485.50
  4. Step 4: Simplify right side
    332,757x = 530,691,123,710.25
  5. Step 5: Solve for x
    x = 530,691,123,710.25/332,757
  6. Step 6: Final answer
    x = 1,594,830.83

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.