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Finding the Third Proportional to 220,325,778 and 333,322,350.75

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Solution

The third proportional to 220,325,778 and 333,322,350.75 is: 504,270,496.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,325,778 : 333,322,350.75 = 333,322,350.75 : x
  2. Step 2: Convert to fraction form
    220,325,778/333,322,350.75 = 333,322,350.75/x
  3. Step 3: Cross multiply
    220,325,778x = 333,322,350.75 × 333,322,350.75
  4. Step 4: Simplify right side
    220,325,778x = 111,103,789,509,506,032
  5. Step 5: Solve for x
    x = 111,103,789,509,506,032/220,325,778
  6. Step 6: Final answer
    x = 504,270,496.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.