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Finding the Third Proportional to 199,026 and 416,493

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Solution

The third proportional to 199,026 and 416,493 is: 871,576.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,026 : 416,493 = 416,493 : x
  2. Step 2: Convert to fraction form
    199,026/416,493 = 416,493/x
  3. Step 3: Cross multiply
    199,026x = 416,493 × 416,493
  4. Step 4: Simplify right side
    199,026x = 173,466,419,049
  5. Step 5: Solve for x
    x = 173,466,419,049/199,026
  6. Step 6: Final answer
    x = 871,576.67

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.