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Finding the Third Proportional to 32,288 and 43,824

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Solution

The third proportional to 32,288 and 43,824 is: 59,481.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,288 : 43,824 = 43,824 : x
  2. Step 2: Convert to fraction form
    32,288/43,824 = 43,824/x
  3. Step 3: Cross multiply
    32,288x = 43,824 × 43,824
  4. Step 4: Simplify right side
    32,288x = 1,920,542,976
  5. Step 5: Solve for x
    x = 1,920,542,976/32,288
  6. Step 6: Final answer
    x = 59,481.63

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.