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Finding the Third Proportional to 8,082.79 and 11,129.80

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Solution

The third proportional to 8,082.79 and 11,129.80 is: 15,325.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.79 : 11,129.80 = 11,129.80 : x
  2. Step 2: Convert to fraction form
    8,082.79/11,129.80 = 11,129.80/x
  3. Step 3: Cross multiply
    8,082.79x = 11,129.80 × 11,129.80
  4. Step 4: Simplify right side
    8,082.79x = 123,872,515.87
  5. Step 5: Solve for x
    x = 123,872,515.87/8,082.79
  6. Step 6: Final answer
    x = 15,325.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.