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Finding the Third Proportional to 315,236 and 682,900

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Solution

The third proportional to 315,236 and 682,900 is: 1,479,375.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,236 : 682,900 = 682,900 : x
  2. Step 2: Convert to fraction form
    315,236/682,900 = 682,900/x
  3. Step 3: Cross multiply
    315,236x = 682,900 × 682,900
  4. Step 4: Simplify right side
    315,236x = 466,352,410,000
  5. Step 5: Solve for x
    x = 466,352,410,000/315,236
  6. Step 6: Final answer
    x = 1,479,375.48

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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.