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Finding the Third Proportional to 7,922 and 12,427

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Solution

The third proportional to 7,922 and 12,427 is: 19,493.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,922 : 12,427 = 12,427 : x
  2. Step 2: Convert to fraction form
    7,922/12,427 = 12,427/x
  3. Step 3: Cross multiply
    7,922x = 12,427 × 12,427
  4. Step 4: Simplify right side
    7,922x = 154,430,329
  5. Step 5: Solve for x
    x = 154,430,329/7,922
  6. Step 6: Final answer
    x = 19,493.86

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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.