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Finding the Third Proportional to 339,163.50 and 737,376

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Solution

The third proportional to 339,163.50 and 737,376 is: 1,603,130.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,163.50 : 737,376 = 737,376 : x
  2. Step 2: Convert to fraction form
    339,163.50/737,376 = 737,376/x
  3. Step 3: Cross multiply
    339,163.50x = 737,376 × 737,376
  4. Step 4: Simplify right side
    339,163.50x = 543,723,365,376
  5. Step 5: Solve for x
    x = 543,723,365,376/339,163.50
  6. Step 6: Final answer
    x = 1,603,130.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.