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Finding the Third Proportional to 195,218 and 407,380

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Solution

The third proportional to 195,218 and 407,380 is: 850,118.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,218 : 407,380 = 407,380 : x
  2. Step 2: Convert to fraction form
    195,218/407,380 = 407,380/x
  3. Step 3: Cross multiply
    195,218x = 407,380 × 407,380
  4. Step 4: Simplify right side
    195,218x = 165,958,464,400
  5. Step 5: Solve for x
    x = 165,958,464,400/195,218
  6. Step 6: Final answer
    x = 850,118.66

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.