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Finding the Third Proportional to 6,640 and 10,193

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Solution

The third proportional to 6,640 and 10,193 is: 15,647.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,640 : 10,193 = 10,193 : x
  2. Step 2: Convert to fraction form
    6,640/10,193 = 10,193/x
  3. Step 3: Cross multiply
    6,640x = 10,193 × 10,193
  4. Step 4: Simplify right side
    6,640x = 103,897,249
  5. Step 5: Solve for x
    x = 103,897,249/6,640
  6. Step 6: Final answer
    x = 15,647.18

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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.