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Finding the Third Proportional to 94,843 and 198,455

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Solution

The third proportional to 94,843 and 198,455 is: 415,258.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,843 : 198,455 = 198,455 : x
  2. Step 2: Convert to fraction form
    94,843/198,455 = 198,455/x
  3. Step 3: Cross multiply
    94,843x = 198,455 × 198,455
  4. Step 4: Simplify right side
    94,843x = 39,384,387,025
  5. Step 5: Solve for x
    x = 39,384,387,025/94,843
  6. Step 6: Final answer
    x = 415,258.76

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.