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Finding the Third Proportional to 193,846 and 283,249

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Solution

The third proportional to 193,846 and 283,249 is: 413,885.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,846 : 283,249 = 283,249 : x
  2. Step 2: Convert to fraction form
    193,846/283,249 = 283,249/x
  3. Step 3: Cross multiply
    193,846x = 283,249 × 283,249
  4. Step 4: Simplify right side
    193,846x = 80,229,996,001
  5. Step 5: Solve for x
    x = 80,229,996,001/193,846
  6. Step 6: Final answer
    x = 413,885.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.