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Finding the Third Proportional to 7,882 and 12,901

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Solution

The third proportional to 7,882 and 12,901 is: 21,115.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882 : 12,901 = 12,901 : x
  2. Step 2: Convert to fraction form
    7,882/12,901 = 12,901/x
  3. Step 3: Cross multiply
    7,882x = 12,901 × 12,901
  4. Step 4: Simplify right side
    7,882x = 166,435,801
  5. Step 5: Solve for x
    x = 166,435,801/7,882
  6. Step 6: Final answer
    x = 21,115.94

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.