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Finding the Third Proportional to 312,231,962,647 and 421,274,227,971

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Solution

The third proportional to 312,231,962,647 and 421,274,227,971 is: 568,397,846,421.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,231,962,647 : 421,274,227,971 = 421,274,227,971 : x
  2. Step 2: Convert to fraction form
    312,231,962,647/421,274,227,971 = 421,274,227,971/x
  3. Step 3: Cross multiply
    312,231,962,647x = 421,274,227,971 × 421,274,227,971
  4. Step 4: Simplify right side
    312,231,962,647x = 177,471,975,152,562,076,647,424
  5. Step 5: Solve for x
    x = 177,471,975,152,562,076,647,424/312,231,962,647
  6. Step 6: Final answer
    x = 568,397,846,421.66

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.