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Finding the Third Proportional to 280,924.50 and 619,110

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Solution

The third proportional to 280,924.50 and 619,110 is: 1,364,413.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,924.50 : 619,110 = 619,110 : x
  2. Step 2: Convert to fraction form
    280,924.50/619,110 = 619,110/x
  3. Step 3: Cross multiply
    280,924.50x = 619,110 × 619,110
  4. Step 4: Simplify right side
    280,924.50x = 383,297,192,100
  5. Step 5: Solve for x
    x = 383,297,192,100/280,924.50
  6. Step 6: Final answer
    x = 1,364,413.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.