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Finding the Third Proportional to 6,353.25 and 9,576.75

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Solution

The third proportional to 6,353.25 and 9,576.75 is: 14,435.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,353.25 : 9,576.75 = 9,576.75 : x
  2. Step 2: Convert to fraction form
    6,353.25/9,576.75 = 9,576.75/x
  3. Step 3: Cross multiply
    6,353.25x = 9,576.75 × 9,576.75
  4. Step 4: Simplify right side
    6,353.25x = 91,714,140.56
  5. Step 5: Solve for x
    x = 91,714,140.56/6,353.25
  6. Step 6: Final answer
    x = 14,435.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.