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Finding the Third Proportional to 6,122.25 and 13,044.38

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Solution

The third proportional to 6,122.25 and 13,044.38 is: 27,793.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,122.25 : 13,044.38 = 13,044.38 : x
  2. Step 2: Convert to fraction form
    6,122.25/13,044.38 = 13,044.38/x
  3. Step 3: Cross multiply
    6,122.25x = 13,044.38 × 13,044.38
  4. Step 4: Simplify right side
    6,122.25x = 170,155,719.14
  5. Step 5: Solve for x
    x = 170,155,719.14/6,122.25
  6. Step 6: Final answer
    x = 27,793.00

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.