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Finding the Third Proportional to 8,300.25 and 12,481.75

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Solution

The third proportional to 8,300.25 and 12,481.75 is: 18,769.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,300.25 : 12,481.75 = 12,481.75 : x
  2. Step 2: Convert to fraction form
    8,300.25/12,481.75 = 12,481.75/x
  3. Step 3: Cross multiply
    8,300.25x = 12,481.75 × 12,481.75
  4. Step 4: Simplify right side
    8,300.25x = 155,794,083.06
  5. Step 5: Solve for x
    x = 155,794,083.06/8,300.25
  6. Step 6: Final answer
    x = 18,769.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.