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Finding the Third Proportional to 298,771.88 and 457,245

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Solution

The third proportional to 298,771.88 and 457,245 is: 699,774.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,771.88 : 457,245 = 457,245 : x
  2. Step 2: Convert to fraction form
    298,771.88/457,245 = 457,245/x
  3. Step 3: Cross multiply
    298,771.88x = 457,245 × 457,245
  4. Step 4: Simplify right side
    298,771.88x = 209,072,990,025
  5. Step 5: Solve for x
    x = 209,072,990,025/298,771.88
  6. Step 6: Final answer
    x = 699,774.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.