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Finding the Third Proportional to 444,190.25 and 682,330.50

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Solution

The third proportional to 444,190.25 and 682,330.50 is: 1,048,143.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,190.25 : 682,330.50 = 682,330.50 : x
  2. Step 2: Convert to fraction form
    444,190.25/682,330.50 = 682,330.50/x
  3. Step 3: Cross multiply
    444,190.25x = 682,330.50 × 682,330.50
  4. Step 4: Simplify right side
    444,190.25x = 465,574,911,230.25
  5. Step 5: Solve for x
    x = 465,574,911,230.25/444,190.25
  6. Step 6: Final answer
    x = 1,048,143.02

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.