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Finding the Third Proportional to 131,183 and 289,930

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Solution

The third proportional to 131,183 and 289,930 is: 640,779.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,183 : 289,930 = 289,930 : x
  2. Step 2: Convert to fraction form
    131,183/289,930 = 289,930/x
  3. Step 3: Cross multiply
    131,183x = 289,930 × 289,930
  4. Step 4: Simplify right side
    131,183x = 84,059,404,900
  5. Step 5: Solve for x
    x = 84,059,404,900/131,183
  6. Step 6: Final answer
    x = 640,779.71

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.