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Finding the Third Proportional to 27,972 and 39,108

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Solution

The third proportional to 27,972 and 39,108 is: 54,677.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,972 : 39,108 = 39,108 : x
  2. Step 2: Convert to fraction form
    27,972/39,108 = 39,108/x
  3. Step 3: Cross multiply
    27,972x = 39,108 × 39,108
  4. Step 4: Simplify right side
    27,972x = 1,529,435,664
  5. Step 5: Solve for x
    x = 1,529,435,664/27,972
  6. Step 6: Final answer
    x = 54,677.38

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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.