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Finding the Third Proportional to 7,909 and 12,059

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Solution

The third proportional to 7,909 and 12,059 is: 18,386.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,909 : 12,059 = 12,059 : x
  2. Step 2: Convert to fraction form
    7,909/12,059 = 12,059/x
  3. Step 3: Cross multiply
    7,909x = 12,059 × 12,059
  4. Step 4: Simplify right side
    7,909x = 145,419,481
  5. Step 5: Solve for x
    x = 145,419,481/7,909
  6. Step 6: Final answer
    x = 18,386.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.