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Finding the Third Proportional to 109,876 and 166,918

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Solution

The third proportional to 109,876 and 166,918 is: 253,573.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,876 : 166,918 = 166,918 : x
  2. Step 2: Convert to fraction form
    109,876/166,918 = 166,918/x
  3. Step 3: Cross multiply
    109,876x = 166,918 × 166,918
  4. Step 4: Simplify right side
    109,876x = 27,861,618,724
  5. Step 5: Solve for x
    x = 27,861,618,724/109,876
  6. Step 6: Final answer
    x = 253,573.29

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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.