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Finding the Third Proportional to 298,977 and 447,642

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Solution

The third proportional to 298,977 and 447,642 is: 670,230.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,977 : 447,642 = 447,642 : x
  2. Step 2: Convert to fraction form
    298,977/447,642 = 447,642/x
  3. Step 3: Cross multiply
    298,977x = 447,642 × 447,642
  4. Step 4: Simplify right side
    298,977x = 200,383,360,164
  5. Step 5: Solve for x
    x = 200,383,360,164/298,977
  6. Step 6: Final answer
    x = 670,230.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.