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Finding the Third Proportional to 7,678 and 10,867

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Solution

The third proportional to 7,678 and 10,867 is: 15,380.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678 : 10,867 = 10,867 : x
  2. Step 2: Convert to fraction form
    7,678/10,867 = 10,867/x
  3. Step 3: Cross multiply
    7,678x = 10,867 × 10,867
  4. Step 4: Simplify right side
    7,678x = 118,091,689
  5. Step 5: Solve for x
    x = 118,091,689/7,678
  6. Step 6: Final answer
    x = 15,380.53

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.