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Finding the Third Proportional to 17,728 and 27,272

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Solution

The third proportional to 17,728 and 27,272 is: 41,954.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,728 : 27,272 = 27,272 : x
  2. Step 2: Convert to fraction form
    17,728/27,272 = 27,272/x
  3. Step 3: Cross multiply
    17,728x = 27,272 × 27,272
  4. Step 4: Simplify right side
    17,728x = 743,761,984
  5. Step 5: Solve for x
    x = 743,761,984/17,728
  6. Step 6: Final answer
    x = 41,954.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.