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Finding the Third Proportional to 248,064 and 394,245

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Solution

The third proportional to 248,064 and 394,245 is: 626,568.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,064 : 394,245 = 394,245 : x
  2. Step 2: Convert to fraction form
    248,064/394,245 = 394,245/x
  3. Step 3: Cross multiply
    248,064x = 394,245 × 394,245
  4. Step 4: Simplify right side
    248,064x = 155,429,120,025
  5. Step 5: Solve for x
    x = 155,429,120,025/248,064
  6. Step 6: Final answer
    x = 626,568.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.