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Finding the Third Proportional to 197,991 and 318,777

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Solution

The third proportional to 197,991 and 318,777 is: 513,249.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,991 : 318,777 = 318,777 : x
  2. Step 2: Convert to fraction form
    197,991/318,777 = 318,777/x
  3. Step 3: Cross multiply
    197,991x = 318,777 × 318,777
  4. Step 4: Simplify right side
    197,991x = 101,618,775,729
  5. Step 5: Solve for x
    x = 101,618,775,729/197,991
  6. Step 6: Final answer
    x = 513,249.47

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.