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Finding the Third Proportional to 197,296 and 320,542

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Solution

The third proportional to 197,296 and 320,542 is: 520,776.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,296 : 320,542 = 320,542 : x
  2. Step 2: Convert to fraction form
    197,296/320,542 = 320,542/x
  3. Step 3: Cross multiply
    197,296x = 320,542 × 320,542
  4. Step 4: Simplify right side
    197,296x = 102,747,173,764
  5. Step 5: Solve for x
    x = 102,747,173,764/197,296
  6. Step 6: Final answer
    x = 520,776.77

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.