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Finding the Third Proportional to 328,096 and 505,992

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Solution

The third proportional to 328,096 and 505,992 is: 780,344.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,096 : 505,992 = 505,992 : x
  2. Step 2: Convert to fraction form
    328,096/505,992 = 505,992/x
  3. Step 3: Cross multiply
    328,096x = 505,992 × 505,992
  4. Step 4: Simplify right side
    328,096x = 256,027,904,064
  5. Step 5: Solve for x
    x = 256,027,904,064/328,096
  6. Step 6: Final answer
    x = 780,344.48

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.