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Finding the Third Proportional to 312,648.75 and 682,500.38

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Solution

The third proportional to 312,648.75 and 682,500.38 is: 1,489,872.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,648.75 : 682,500.38 = 682,500.38 : x
  2. Step 2: Convert to fraction form
    312,648.75/682,500.38 = 682,500.38/x
  3. Step 3: Cross multiply
    312,648.75x = 682,500.38 × 682,500.38
  4. Step 4: Simplify right side
    312,648.75x = 465,806,761,875.14
  5. Step 5: Solve for x
    x = 465,806,761,875.14/312,648.75
  6. Step 6: Final answer
    x = 1,489,872.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.