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Finding the Third Proportional to 328,068 and 682,331.25

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Solution

The third proportional to 328,068 and 682,331.25 is: 1,419,144.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,068 : 682,331.25 = 682,331.25 : x
  2. Step 2: Convert to fraction form
    328,068/682,331.25 = 682,331.25/x
  3. Step 3: Cross multiply
    328,068x = 682,331.25 × 682,331.25
  4. Step 4: Simplify right side
    328,068x = 465,575,934,726.56
  5. Step 5: Solve for x
    x = 465,575,934,726.56/328,068
  6. Step 6: Final answer
    x = 1,419,144.61

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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.