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Finding the Third Proportional to 8,128 and 11,621

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Solution

The third proportional to 8,128 and 11,621 is: 16,615.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,128 : 11,621 = 11,621 : x
  2. Step 2: Convert to fraction form
    8,128/11,621 = 11,621/x
  3. Step 3: Cross multiply
    8,128x = 11,621 × 11,621
  4. Step 4: Simplify right side
    8,128x = 135,047,641
  5. Step 5: Solve for x
    x = 135,047,641/8,128
  6. Step 6: Final answer
    x = 16,615.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.