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Finding the Third Proportional to 151,750 and 332,410.50

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Solution

The third proportional to 151,750 and 332,410.50 is: 728,149.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,750 : 332,410.50 = 332,410.50 : x
  2. Step 2: Convert to fraction form
    151,750/332,410.50 = 332,410.50/x
  3. Step 3: Cross multiply
    151,750x = 332,410.50 × 332,410.50
  4. Step 4: Simplify right side
    151,750x = 110,496,740,510.25
  5. Step 5: Solve for x
    x = 110,496,740,510.25/151,750
  6. Step 6: Final answer
    x = 728,149.86

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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.