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Finding the Third Proportional to 312,745 and 682,847

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Solution

The third proportional to 312,745 and 682,847 is: 1,490,927.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,745 : 682,847 = 682,847 : x
  2. Step 2: Convert to fraction form
    312,745/682,847 = 682,847/x
  3. Step 3: Cross multiply
    312,745x = 682,847 × 682,847
  4. Step 4: Simplify right side
    312,745x = 466,280,025,409
  5. Step 5: Solve for x
    x = 466,280,025,409/312,745
  6. Step 6: Final answer
    x = 1,490,927.19

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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.