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Finding the Third Proportional to 106,114.50 and 231,183

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Solution

The third proportional to 106,114.50 and 231,183 is: 503,659.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,114.50 : 231,183 = 231,183 : x
  2. Step 2: Convert to fraction form
    106,114.50/231,183 = 231,183/x
  3. Step 3: Cross multiply
    106,114.50x = 231,183 × 231,183
  4. Step 4: Simplify right side
    106,114.50x = 53,445,579,489
  5. Step 5: Solve for x
    x = 53,445,579,489/106,114.50
  6. Step 6: Final answer
    x = 503,659.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.