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Finding the Third Proportional to 203,546,504,856 and 447,470,834,052

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Solution

The third proportional to 203,546,504,856 and 447,470,834,052 is: 983,707,126,137.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,546,504,856 : 447,470,834,052 = 447,470,834,052 : x
  2. Step 2: Convert to fraction form
    203,546,504,856/447,470,834,052 = 447,470,834,052/x
  3. Step 3: Cross multiply
    203,546,504,856x = 447,470,834,052 × 447,470,834,052
  4. Step 4: Simplify right side
    203,546,504,856x = 200,230,147,327,192,507,351,040
  5. Step 5: Solve for x
    x = 200,230,147,327,192,507,351,040/203,546,504,856
  6. Step 6: Final answer
    x = 983,707,126,137.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.