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Finding the Third Proportional to 10,631 and 28,917

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Solution

The third proportional to 10,631 and 28,917 is: 78,656.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,631 : 28,917 = 28,917 : x
  2. Step 2: Convert to fraction form
    10,631/28,917 = 28,917/x
  3. Step 3: Cross multiply
    10,631x = 28,917 × 28,917
  4. Step 4: Simplify right side
    10,631x = 836,192,889
  5. Step 5: Solve for x
    x = 836,192,889/10,631
  6. Step 6: Final answer
    x = 78,656.09

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.