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Finding the Third Proportional to 197,616 and 385,296

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Solution

The third proportional to 197,616 and 385,296 is: 751,219.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,616 : 385,296 = 385,296 : x
  2. Step 2: Convert to fraction form
    197,616/385,296 = 385,296/x
  3. Step 3: Cross multiply
    197,616x = 385,296 × 385,296
  4. Step 4: Simplify right side
    197,616x = 148,453,007,616
  5. Step 5: Solve for x
    x = 148,453,007,616/197,616
  6. Step 6: Final answer
    x = 751,219.58

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.