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Finding the Third Proportional to 27,969 and 39,105

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Solution

The third proportional to 27,969 and 39,105 is: 54,674.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,969 : 39,105 = 39,105 : x
  2. Step 2: Convert to fraction form
    27,969/39,105 = 39,105/x
  3. Step 3: Cross multiply
    27,969x = 39,105 × 39,105
  4. Step 4: Simplify right side
    27,969x = 1,529,201,025
  5. Step 5: Solve for x
    x = 1,529,201,025/27,969
  6. Step 6: Final answer
    x = 54,674.86

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.