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Finding the Third Proportional to 313,906.50 and 668,268

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Solution

The third proportional to 313,906.50 and 668,268 is: 1,422,659.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,906.50 : 668,268 = 668,268 : x
  2. Step 2: Convert to fraction form
    313,906.50/668,268 = 668,268/x
  3. Step 3: Cross multiply
    313,906.50x = 668,268 × 668,268
  4. Step 4: Simplify right side
    313,906.50x = 446,582,119,824
  5. Step 5: Solve for x
    x = 446,582,119,824/313,906.50
  6. Step 6: Final answer
    x = 1,422,659.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.