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Finding the Third Proportional to 198,462 and 426,876

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Solution

The third proportional to 198,462 and 426,876 is: 918,176.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,462 : 426,876 = 426,876 : x
  2. Step 2: Convert to fraction form
    198,462/426,876 = 426,876/x
  3. Step 3: Cross multiply
    198,462x = 426,876 × 426,876
  4. Step 4: Simplify right side
    198,462x = 182,223,119,376
  5. Step 5: Solve for x
    x = 182,223,119,376/198,462
  6. Step 6: Final answer
    x = 918,176.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.