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Finding the Third Proportional to 328,083.12 and 682,355.81

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Solution

The third proportional to 328,083.12 and 682,355.81 is: 1,419,181.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,083.12 : 682,355.81 = 682,355.81 : x
  2. Step 2: Convert to fraction form
    328,083.12/682,355.81 = 682,355.81/x
  3. Step 3: Cross multiply
    328,083.12x = 682,355.81 × 682,355.81
  4. Step 4: Simplify right side
    328,083.12x = 465,609,454,852.54
  5. Step 5: Solve for x
    x = 465,609,454,852.54/328,083.12
  6. Step 6: Final answer
    x = 1,419,181.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.