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Finding the Third Proportional to 84,359 and 178,198

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Solution

The third proportional to 84,359 and 178,198 is: 376,421.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,359 : 178,198 = 178,198 : x
  2. Step 2: Convert to fraction form
    84,359/178,198 = 178,198/x
  3. Step 3: Cross multiply
    84,359x = 178,198 × 178,198
  4. Step 4: Simplify right side
    84,359x = 31,754,527,204
  5. Step 5: Solve for x
    x = 31,754,527,204/84,359
  6. Step 6: Final answer
    x = 376,421.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.