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Finding the Third Proportional to 8,678 and 13,406

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Solution

The third proportional to 8,678 and 13,406 is: 20,709.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678 : 13,406 = 13,406 : x
  2. Step 2: Convert to fraction form
    8,678/13,406 = 13,406/x
  3. Step 3: Cross multiply
    8,678x = 13,406 × 13,406
  4. Step 4: Simplify right side
    8,678x = 179,720,836
  5. Step 5: Solve for x
    x = 179,720,836/8,678
  6. Step 6: Final answer
    x = 20,709.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.