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Finding the Third Proportional to 6,576.75 and 10,190.25

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Solution

The third proportional to 6,576.75 and 10,190.25 is: 15,789.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576.75 : 10,190.25 = 10,190.25 : x
  2. Step 2: Convert to fraction form
    6,576.75/10,190.25 = 10,190.25/x
  3. Step 3: Cross multiply
    6,576.75x = 10,190.25 × 10,190.25
  4. Step 4: Simplify right side
    6,576.75x = 103,841,195.06
  5. Step 5: Solve for x
    x = 103,841,195.06/6,576.75
  6. Step 6: Final answer
    x = 15,789.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.