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Finding the Third Proportional to 11,472 and 27,720

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Solution

The third proportional to 11,472 and 27,720 is: 66,980.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,472 : 27,720 = 27,720 : x
  2. Step 2: Convert to fraction form
    11,472/27,720 = 27,720/x
  3. Step 3: Cross multiply
    11,472x = 27,720 × 27,720
  4. Step 4: Simplify right side
    11,472x = 768,398,400
  5. Step 5: Solve for x
    x = 768,398,400/11,472
  6. Step 6: Final answer
    x = 66,980.33

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.