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Finding the Third Proportional to 10,975 and 16,732

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Solution

The third proportional to 10,975 and 16,732 is: 25,508.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,975 : 16,732 = 16,732 : x
  2. Step 2: Convert to fraction form
    10,975/16,732 = 16,732/x
  3. Step 3: Cross multiply
    10,975x = 16,732 × 16,732
  4. Step 4: Simplify right side
    10,975x = 279,959,824
  5. Step 5: Solve for x
    x = 279,959,824/10,975
  6. Step 6: Final answer
    x = 25,508.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.