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Finding the Third Proportional to 193,524,511,520 and 269,080,364,463

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Solution

The third proportional to 193,524,511,520 and 269,080,364,463 is: 374,134,738,648.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,524,511,520 : 269,080,364,463 = 269,080,364,463 : x
  2. Step 2: Convert to fraction form
    193,524,511,520/269,080,364,463 = 269,080,364,463/x
  3. Step 3: Cross multiply
    193,524,511,520x = 269,080,364,463 × 269,080,364,463
  4. Step 4: Simplify right side
    193,524,511,520x = 72,404,242,539,540,914,372,608
  5. Step 5: Solve for x
    x = 72,404,242,539,540,914,372,608/193,524,511,520
  6. Step 6: Final answer
    x = 374,134,738,648.12

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.