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Finding the Third Proportional to 27,682 and 43,507

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Solution

The third proportional to 27,682 and 43,507 is: 68,378.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,682 : 43,507 = 43,507 : x
  2. Step 2: Convert to fraction form
    27,682/43,507 = 43,507/x
  3. Step 3: Cross multiply
    27,682x = 43,507 × 43,507
  4. Step 4: Simplify right side
    27,682x = 1,892,859,049
  5. Step 5: Solve for x
    x = 1,892,859,049/27,682
  6. Step 6: Final answer
    x = 68,378.70

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.