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Finding the Third Proportional to 312,804 and 682,948

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Solution

The third proportional to 312,804 and 682,948 is: 1,491,086.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,804 : 682,948 = 682,948 : x
  2. Step 2: Convert to fraction form
    312,804/682,948 = 682,948/x
  3. Step 3: Cross multiply
    312,804x = 682,948 × 682,948
  4. Step 4: Simplify right side
    312,804x = 466,417,970,704
  5. Step 5: Solve for x
    x = 466,417,970,704/312,804
  6. Step 6: Final answer
    x = 1,491,086.98

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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.