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Finding the Third Proportional to 298,540 and 447,626

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Solution

The third proportional to 298,540 and 447,626 is: 671,163.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,540 : 447,626 = 447,626 : x
  2. Step 2: Convert to fraction form
    298,540/447,626 = 447,626/x
  3. Step 3: Cross multiply
    298,540x = 447,626 × 447,626
  4. Step 4: Simplify right side
    298,540x = 200,369,035,876
  5. Step 5: Solve for x
    x = 200,369,035,876/298,540
  6. Step 6: Final answer
    x = 671,163.11

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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.