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Finding the Third Proportional to 268,177 and 397,631

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Solution

The third proportional to 268,177 and 397,631 is: 589,574.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,177 : 397,631 = 397,631 : x
  2. Step 2: Convert to fraction form
    268,177/397,631 = 397,631/x
  3. Step 3: Cross multiply
    268,177x = 397,631 × 397,631
  4. Step 4: Simplify right side
    268,177x = 158,110,412,161
  5. Step 5: Solve for x
    x = 158,110,412,161/268,177
  6. Step 6: Final answer
    x = 589,574.84

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.