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Finding the Third Proportional to 18,296 and 39,728

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Solution

The third proportional to 18,296 and 39,728 is: 86,265.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,296 : 39,728 = 39,728 : x
  2. Step 2: Convert to fraction form
    18,296/39,728 = 39,728/x
  3. Step 3: Cross multiply
    18,296x = 39,728 × 39,728
  4. Step 4: Simplify right side
    18,296x = 1,578,313,984
  5. Step 5: Solve for x
    x = 1,578,313,984/18,296
  6. Step 6: Final answer
    x = 86,265.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.