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Finding the Third Proportional to 201,817 and 321,194

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Solution

The third proportional to 201,817 and 321,194 is: 511,183.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,817 : 321,194 = 321,194 : x
  2. Step 2: Convert to fraction form
    201,817/321,194 = 321,194/x
  3. Step 3: Cross multiply
    201,817x = 321,194 × 321,194
  4. Step 4: Simplify right side
    201,817x = 103,165,585,636
  5. Step 5: Solve for x
    x = 103,165,585,636/201,817
  6. Step 6: Final answer
    x = 511,183.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.