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Finding the Third Proportional to 8,992 and 10,608

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Solution

The third proportional to 8,992 and 10,608 is: 12,514.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,992 : 10,608 = 10,608 : x
  2. Step 2: Convert to fraction form
    8,992/10,608 = 10,608/x
  3. Step 3: Cross multiply
    8,992x = 10,608 × 10,608
  4. Step 4: Simplify right side
    8,992x = 112,529,664
  5. Step 5: Solve for x
    x = 112,529,664/8,992
  6. Step 6: Final answer
    x = 12,514.42

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.