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Finding the Third Proportional to 328,876 and 491,992

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Solution

The third proportional to 328,876 and 491,992 is: 736,010.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,876 : 491,992 = 491,992 : x
  2. Step 2: Convert to fraction form
    328,876/491,992 = 491,992/x
  3. Step 3: Cross multiply
    328,876x = 491,992 × 491,992
  4. Step 4: Simplify right side
    328,876x = 242,056,128,064
  5. Step 5: Solve for x
    x = 242,056,128,064/328,876
  6. Step 6: Final answer
    x = 736,010.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.