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Finding the Third Proportional to 201,819 and 321,197

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Solution

The third proportional to 201,819 and 321,197 is: 511,188.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,819 : 321,197 = 321,197 : x
  2. Step 2: Convert to fraction form
    201,819/321,197 = 321,197/x
  3. Step 3: Cross multiply
    201,819x = 321,197 × 321,197
  4. Step 4: Simplify right side
    201,819x = 103,167,512,809
  5. Step 5: Solve for x
    x = 103,167,512,809/201,819
  6. Step 6: Final answer
    x = 511,188.31

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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.