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Finding the Third Proportional to 280,516.50 and 394,566.75

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Solution

The third proportional to 280,516.50 and 394,566.75 is: 554,986.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,516.50 : 394,566.75 = 394,566.75 : x
  2. Step 2: Convert to fraction form
    280,516.50/394,566.75 = 394,566.75/x
  3. Step 3: Cross multiply
    280,516.50x = 394,566.75 × 394,566.75
  4. Step 4: Simplify right side
    280,516.50x = 155,682,920,205.56
  5. Step 5: Solve for x
    x = 155,682,920,205.56/280,516.50
  6. Step 6: Final answer
    x = 554,986.68

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.