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Finding the Third Proportional to 8,942 and 21,079

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Solution

The third proportional to 8,942 and 21,079 is: 49,689.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,942 : 21,079 = 21,079 : x
  2. Step 2: Convert to fraction form
    8,942/21,079 = 21,079/x
  3. Step 3: Cross multiply
    8,942x = 21,079 × 21,079
  4. Step 4: Simplify right side
    8,942x = 444,324,241
  5. Step 5: Solve for x
    x = 444,324,241/8,942
  6. Step 6: Final answer
    x = 49,689.58

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.