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Finding the Third Proportional to 71,868 and 151,183

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Solution

The third proportional to 71,868 and 151,183 is: 318,031.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,868 : 151,183 = 151,183 : x
  2. Step 2: Convert to fraction form
    71,868/151,183 = 151,183/x
  3. Step 3: Cross multiply
    71,868x = 151,183 × 151,183
  4. Step 4: Simplify right side
    71,868x = 22,856,299,489
  5. Step 5: Solve for x
    x = 22,856,299,489/71,868
  6. Step 6: Final answer
    x = 318,031.66

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.