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Finding the Third Proportional to 268,976 and 395,676

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Solution

The third proportional to 268,976 and 395,676 is: 582,057.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,976 : 395,676 = 395,676 : x
  2. Step 2: Convert to fraction form
    268,976/395,676 = 395,676/x
  3. Step 3: Cross multiply
    268,976x = 395,676 × 395,676
  4. Step 4: Simplify right side
    268,976x = 156,559,496,976
  5. Step 5: Solve for x
    x = 156,559,496,976/268,976
  6. Step 6: Final answer
    x = 582,057.50

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