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Finding the Third Proportional to 179,686 and 278,611

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Solution

The third proportional to 179,686 and 278,611 is: 431,998.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,686 : 278,611 = 278,611 : x
  2. Step 2: Convert to fraction form
    179,686/278,611 = 278,611/x
  3. Step 3: Cross multiply
    179,686x = 278,611 × 278,611
  4. Step 4: Simplify right side
    179,686x = 77,624,089,321
  5. Step 5: Solve for x
    x = 77,624,089,321/179,686
  6. Step 6: Final answer
    x = 431,998.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.