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Finding the Third Proportional to 11,712 and 25,728

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Solution

The third proportional to 11,712 and 25,728 is: 56,517.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712 : 25,728 = 25,728 : x
  2. Step 2: Convert to fraction form
    11,712/25,728 = 25,728/x
  3. Step 3: Cross multiply
    11,712x = 25,728 × 25,728
  4. Step 4: Simplify right side
    11,712x = 661,929,984
  5. Step 5: Solve for x
    x = 661,929,984/11,712
  6. Step 6: Final answer
    x = 56,517.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.