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Finding the Third Proportional to 328,061.39 and 682,298.44

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Solution

The third proportional to 328,061.39 and 682,298.44 is: 1,419,036.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,061.39 : 682,298.44 = 682,298.44 : x
  2. Step 2: Convert to fraction form
    328,061.39/682,298.44 = 682,298.44/x
  3. Step 3: Cross multiply
    328,061.39x = 682,298.44 × 682,298.44
  4. Step 4: Simplify right side
    328,061.39x = 465,531,157,814.94
  5. Step 5: Solve for x
    x = 465,531,157,814.94/328,061.39
  6. Step 6: Final answer
    x = 1,419,036.71

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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.