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Finding the Third Proportional to 8,454 and 13,193

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Solution

The third proportional to 8,454 and 13,193 is: 20,588.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454 : 13,193 = 13,193 : x
  2. Step 2: Convert to fraction form
    8,454/13,193 = 13,193/x
  3. Step 3: Cross multiply
    8,454x = 13,193 × 13,193
  4. Step 4: Simplify right side
    8,454x = 174,055,249
  5. Step 5: Solve for x
    x = 174,055,249/8,454
  6. Step 6: Final answer
    x = 20,588.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.