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Finding the Third Proportional to 27,717 and 39,036

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Solution

The third proportional to 27,717 and 39,036 is: 54,977.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,717 : 39,036 = 39,036 : x
  2. Step 2: Convert to fraction form
    27,717/39,036 = 39,036/x
  3. Step 3: Cross multiply
    27,717x = 39,036 × 39,036
  4. Step 4: Simplify right side
    27,717x = 1,523,809,296
  5. Step 5: Solve for x
    x = 1,523,809,296/27,717
  6. Step 6: Final answer
    x = 54,977.43

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.