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Finding the Third Proportional to 350,162 and 543,243

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Solution

The third proportional to 350,162 and 543,243 is: 842,789.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,162 : 543,243 = 543,243 : x
  2. Step 2: Convert to fraction form
    350,162/543,243 = 543,243/x
  3. Step 3: Cross multiply
    350,162x = 543,243 × 543,243
  4. Step 4: Simplify right side
    350,162x = 295,112,957,049
  5. Step 5: Solve for x
    x = 295,112,957,049/350,162
  6. Step 6: Final answer
    x = 842,789.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.