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Finding the Third Proportional to 338,997 and 459,876

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Solution

The third proportional to 338,997 and 459,876 is: 623,857.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,997 : 459,876 = 459,876 : x
  2. Step 2: Convert to fraction form
    338,997/459,876 = 459,876/x
  3. Step 3: Cross multiply
    338,997x = 459,876 × 459,876
  4. Step 4: Simplify right side
    338,997x = 211,485,935,376
  5. Step 5: Solve for x
    x = 211,485,935,376/338,997
  6. Step 6: Final answer
    x = 623,857.84

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.