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Finding the Third Proportional to 195,876 and 428,661

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Solution

The third proportional to 195,876 and 428,661 is: 938,094.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,876 : 428,661 = 428,661 : x
  2. Step 2: Convert to fraction form
    195,876/428,661 = 428,661/x
  3. Step 3: Cross multiply
    195,876x = 428,661 × 428,661
  4. Step 4: Simplify right side
    195,876x = 183,750,252,921
  5. Step 5: Solve for x
    x = 183,750,252,921/195,876
  6. Step 6: Final answer
    x = 938,094.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.