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Finding the Third Proportional to 268,480 and 394,912

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Solution

The third proportional to 268,480 and 394,912 is: 580,883.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,480 : 394,912 = 394,912 : x
  2. Step 2: Convert to fraction form
    268,480/394,912 = 394,912/x
  3. Step 3: Cross multiply
    268,480x = 394,912 × 394,912
  4. Step 4: Simplify right side
    268,480x = 155,955,487,744
  5. Step 5: Solve for x
    x = 155,955,487,744/268,480
  6. Step 6: Final answer
    x = 580,883.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.