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Finding the Third Proportional to 4,134.80 and 11,122.95

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Solution

The third proportional to 4,134.80 and 11,122.95 is: 29,921.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,134.80 : 11,122.95 = 11,122.95 : x
  2. Step 2: Convert to fraction form
    4,134.80/11,122.95 = 11,122.95/x
  3. Step 3: Cross multiply
    4,134.80x = 11,122.95 × 11,122.95
  4. Step 4: Simplify right side
    4,134.80x = 123,719,912.42
  5. Step 5: Solve for x
    x = 123,719,912.42/4,134.80
  6. Step 6: Final answer
    x = 29,921.64

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.