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Finding the Third Proportional to 193,524,511,448 and 269,080,364,481

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Solution

The third proportional to 193,524,511,448 and 269,080,364,481 is: 374,134,738,837.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,524,511,448 : 269,080,364,481 = 269,080,364,481 : x
  2. Step 2: Convert to fraction form
    193,524,511,448/269,080,364,481 = 269,080,364,481/x
  3. Step 3: Cross multiply
    193,524,511,448x = 269,080,364,481 × 269,080,364,481
  4. Step 4: Simplify right side
    193,524,511,448x = 72,404,242,549,227,810,455,552
  5. Step 5: Solve for x
    x = 72,404,242,549,227,810,455,552/193,524,511,448
  6. Step 6: Final answer
    x = 374,134,738,837.37

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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.