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Finding the Third Proportional to 10,192 and 11,668

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Solution

The third proportional to 10,192 and 11,668 is: 13,357.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,192 : 11,668 = 11,668 : x
  2. Step 2: Convert to fraction form
    10,192/11,668 = 11,668/x
  3. Step 3: Cross multiply
    10,192x = 11,668 × 11,668
  4. Step 4: Simplify right side
    10,192x = 136,142,224
  5. Step 5: Solve for x
    x = 136,142,224/10,192
  6. Step 6: Final answer
    x = 13,357.75

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.