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Finding the Third Proportional to 2,284,275,950 and 3,082,024,578

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Solution

The third proportional to 2,284,275,950 and 3,082,024,578 is: 4,158,374,779.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284,275,950 : 3,082,024,578 = 3,082,024,578 : x
  2. Step 2: Convert to fraction form
    2,284,275,950/3,082,024,578 = 3,082,024,578/x
  3. Step 3: Cross multiply
    2,284,275,950x = 3,082,024,578 × 3,082,024,578
  4. Step 4: Simplify right side
    2,284,275,950x = 9,498,875,499,396,077,568
  5. Step 5: Solve for x
    x = 9,498,875,499,396,077,568/2,284,275,950
  6. Step 6: Final answer
    x = 4,158,374,779.28

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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.