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Finding the Third Proportional to 2,039,150,344 and 3,148,804,978

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Solution

The third proportional to 2,039,150,344 and 3,148,804,978 is: 4,862,305,920.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039,150,344 : 3,148,804,978 = 3,148,804,978 : x
  2. Step 2: Convert to fraction form
    2,039,150,344/3,148,804,978 = 3,148,804,978/x
  3. Step 3: Cross multiply
    2,039,150,344x = 3,148,804,978 × 3,148,804,978
  4. Step 4: Simplify right side
    2,039,150,344x = 9,914,972,789,477,580,800
  5. Step 5: Solve for x
    x = 9,914,972,789,477,580,800/2,039,150,344
  6. Step 6: Final answer
    x = 4,862,305,920.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.