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Finding the Third Proportional to 195,786 and 311,183

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Solution

The third proportional to 195,786 and 311,183 is: 494,595.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,786 : 311,183 = 311,183 : x
  2. Step 2: Convert to fraction form
    195,786/311,183 = 311,183/x
  3. Step 3: Cross multiply
    195,786x = 311,183 × 311,183
  4. Step 4: Simplify right side
    195,786x = 96,834,859,489
  5. Step 5: Solve for x
    x = 96,834,859,489/195,786
  6. Step 6: Final answer
    x = 494,595.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.