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Finding the Third Proportional to 194,611 and 421,208

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Solution

The third proportional to 194,611 and 421,208 is: 911,645.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,611 : 421,208 = 421,208 : x
  2. Step 2: Convert to fraction form
    194,611/421,208 = 421,208/x
  3. Step 3: Cross multiply
    194,611x = 421,208 × 421,208
  4. Step 4: Simplify right side
    194,611x = 177,416,179,264
  5. Step 5: Solve for x
    x = 177,416,179,264/194,611
  6. Step 6: Final answer
    x = 911,645.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.