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Finding the Third Proportional to 27,858 and 39,045

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Solution

The third proportional to 27,858 and 39,045 is: 54,724.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,858 : 39,045 = 39,045 : x
  2. Step 2: Convert to fraction form
    27,858/39,045 = 39,045/x
  3. Step 3: Cross multiply
    27,858x = 39,045 × 39,045
  4. Step 4: Simplify right side
    27,858x = 1,524,512,025
  5. Step 5: Solve for x
    x = 1,524,512,025/27,858
  6. Step 6: Final answer
    x = 54,724.39

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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.