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Finding the Third Proportional to 27,910 and 39,039

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Solution

The third proportional to 27,910 and 39,039 is: 54,605.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,910 : 39,039 = 39,039 : x
  2. Step 2: Convert to fraction form
    27,910/39,039 = 39,039/x
  3. Step 3: Cross multiply
    27,910x = 39,039 × 39,039
  4. Step 4: Simplify right side
    27,910x = 1,524,043,521
  5. Step 5: Solve for x
    x = 1,524,043,521/27,910
  6. Step 6: Final answer
    x = 54,605.64

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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.