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Finding the Third Proportional to 320,295.75 and 680,099.25

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Solution

The third proportional to 320,295.75 and 680,099.25 is: 1,444,087.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,295.75 : 680,099.25 = 680,099.25 : x
  2. Step 2: Convert to fraction form
    320,295.75/680,099.25 = 680,099.25/x
  3. Step 3: Cross multiply
    320,295.75x = 680,099.25 × 680,099.25
  4. Step 4: Simplify right side
    320,295.75x = 462,534,989,850.56
  5. Step 5: Solve for x
    x = 462,534,989,850.56/320,295.75
  6. Step 6: Final answer
    x = 1,444,087.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.