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Finding the Third Proportional to 177,777 and 388,809

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Solution

The third proportional to 177,777 and 388,809 is: 850,348.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,777 : 388,809 = 388,809 : x
  2. Step 2: Convert to fraction form
    177,777/388,809 = 388,809/x
  3. Step 3: Cross multiply
    177,777x = 388,809 × 388,809
  4. Step 4: Simplify right side
    177,777x = 151,172,438,481
  5. Step 5: Solve for x
    x = 151,172,438,481/177,777
  6. Step 6: Final answer
    x = 850,348.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.