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Finding the Third Proportional to 315,204 and 682,912

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Solution

The third proportional to 315,204 and 682,912 is: 1,479,577.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,204 : 682,912 = 682,912 : x
  2. Step 2: Convert to fraction form
    315,204/682,912 = 682,912/x
  3. Step 3: Cross multiply
    315,204x = 682,912 × 682,912
  4. Step 4: Simplify right side
    315,204x = 466,368,799,744
  5. Step 5: Solve for x
    x = 466,368,799,744/315,204
  6. Step 6: Final answer
    x = 1,479,577.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.