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Finding the Third Proportional to 328,187 and 491,734

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Solution

The third proportional to 328,187 and 491,734 is: 736,782.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,187 : 491,734 = 491,734 : x
  2. Step 2: Convert to fraction form
    328,187/491,734 = 491,734/x
  3. Step 3: Cross multiply
    328,187x = 491,734 × 491,734
  4. Step 4: Simplify right side
    328,187x = 241,802,326,756
  5. Step 5: Solve for x
    x = 241,802,326,756/328,187
  6. Step 6: Final answer
    x = 736,782.16

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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.