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Finding the Third Proportional to 194,292 and 397,980

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Solution

The third proportional to 194,292 and 397,980 is: 815,206.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,292 : 397,980 = 397,980 : x
  2. Step 2: Convert to fraction form
    194,292/397,980 = 397,980/x
  3. Step 3: Cross multiply
    194,292x = 397,980 × 397,980
  4. Step 4: Simplify right side
    194,292x = 158,388,080,400
  5. Step 5: Solve for x
    x = 158,388,080,400/194,292
  6. Step 6: Final answer
    x = 815,206.39

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.