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Finding the Third Proportional to 328,879 and 491,996

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Solution

The third proportional to 328,879 and 491,996 is: 736,015.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,879 : 491,996 = 491,996 : x
  2. Step 2: Convert to fraction form
    328,879/491,996 = 491,996/x
  3. Step 3: Cross multiply
    328,879x = 491,996 × 491,996
  4. Step 4: Simplify right side
    328,879x = 242,060,064,016
  5. Step 5: Solve for x
    x = 242,060,064,016/328,879
  6. Step 6: Final answer
    x = 736,015.57

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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.