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Finding the Third Proportional to 342,083.25 and 728,453.25

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Solution

The third proportional to 342,083.25 and 728,453.25 is: 1,551,213.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,083.25 : 728,453.25 = 728,453.25 : x
  2. Step 2: Convert to fraction form
    342,083.25/728,453.25 = 728,453.25/x
  3. Step 3: Cross multiply
    342,083.25x = 728,453.25 × 728,453.25
  4. Step 4: Simplify right side
    342,083.25x = 530,644,137,435.56
  5. Step 5: Solve for x
    x = 530,644,137,435.56/342,083.25
  6. Step 6: Final answer
    x = 1,551,213.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.