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Finding the Third Proportional to 18,687 and 27,868

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Solution

The third proportional to 18,687 and 27,868 is: 41,559.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,687 : 27,868 = 27,868 : x
  2. Step 2: Convert to fraction form
    18,687/27,868 = 27,868/x
  3. Step 3: Cross multiply
    18,687x = 27,868 × 27,868
  4. Step 4: Simplify right side
    18,687x = 776,625,424
  5. Step 5: Solve for x
    x = 776,625,424/18,687
  6. Step 6: Final answer
    x = 41,559.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.