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Finding the Third Proportional to 321,739.75 and 485,906.75

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Solution

The third proportional to 321,739.75 and 485,906.75 is: 733,839.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,739.75 : 485,906.75 = 485,906.75 : x
  2. Step 2: Convert to fraction form
    321,739.75/485,906.75 = 485,906.75/x
  3. Step 3: Cross multiply
    321,739.75x = 485,906.75 × 485,906.75
  4. Step 4: Simplify right side
    321,739.75x = 236,105,369,695.56
  5. Step 5: Solve for x
    x = 236,105,369,695.56/321,739.75
  6. Step 6: Final answer
    x = 733,839.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.