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Finding the Third Proportional to 10,958 and 16,721

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Solution

The third proportional to 10,958 and 16,721 is: 25,514.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,958 : 16,721 = 16,721 : x
  2. Step 2: Convert to fraction form
    10,958/16,721 = 16,721/x
  3. Step 3: Cross multiply
    10,958x = 16,721 × 16,721
  4. Step 4: Simplify right side
    10,958x = 279,591,841
  5. Step 5: Solve for x
    x = 279,591,841/10,958
  6. Step 6: Final answer
    x = 25,514.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.