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Finding the Third Proportional to 296,800 and 445,200

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Solution

The third proportional to 296,800 and 445,200 is: 667,800

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,800 : 445,200 = 445,200 : x
  2. Step 2: Convert to fraction form
    296,800/445,200 = 445,200/x
  3. Step 3: Cross multiply
    296,800x = 445,200 × 445,200
  4. Step 4: Simplify right side
    296,800x = 198,203,040,000
  5. Step 5: Solve for x
    x = 198,203,040,000/296,800
  6. Step 6: Final answer
    x = 667,800

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Why These Related Problems?

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