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Finding the Third Proportional to 297,310.50 and 619,245

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Solution

The third proportional to 297,310.50 and 619,245 is: 1,289,777.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,310.50 : 619,245 = 619,245 : x
  2. Step 2: Convert to fraction form
    297,310.50/619,245 = 619,245/x
  3. Step 3: Cross multiply
    297,310.50x = 619,245 × 619,245
  4. Step 4: Simplify right side
    297,310.50x = 383,464,370,025
  5. Step 5: Solve for x
    x = 383,464,370,025/297,310.50
  6. Step 6: Final answer
    x = 1,289,777.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.