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Finding the Third Proportional to 312,769 and 682,894

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Solution

The third proportional to 312,769 and 682,894 is: 1,491,018.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,769 : 682,894 = 682,894 : x
  2. Step 2: Convert to fraction form
    312,769/682,894 = 682,894/x
  3. Step 3: Cross multiply
    312,769x = 682,894 × 682,894
  4. Step 4: Simplify right side
    312,769x = 466,344,215,236
  5. Step 5: Solve for x
    x = 466,344,215,236/312,769
  6. Step 6: Final answer
    x = 1,491,018.02

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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.