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Finding the Third Proportional to 8,950 and 13,406

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Solution

The third proportional to 8,950 and 13,406 is: 20,080.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,950 : 13,406 = 13,406 : x
  2. Step 2: Convert to fraction form
    8,950/13,406 = 13,406/x
  3. Step 3: Cross multiply
    8,950x = 13,406 × 13,406
  4. Step 4: Simplify right side
    8,950x = 179,720,836
  5. Step 5: Solve for x
    x = 179,720,836/8,950
  6. Step 6: Final answer
    x = 20,080.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.