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Finding the Third Proportional to 2,039,150,345 and 3,148,804,980

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Solution

The third proportional to 2,039,150,345 and 3,148,804,980 is: 4,862,305,923.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039,150,345 : 3,148,804,980 = 3,148,804,980 : x
  2. Step 2: Convert to fraction form
    2,039,150,345/3,148,804,980 = 3,148,804,980/x
  3. Step 3: Cross multiply
    2,039,150,345x = 3,148,804,980 × 3,148,804,980
  4. Step 4: Simplify right side
    2,039,150,345x = 9,914,972,802,072,801,280
  5. Step 5: Solve for x
    x = 9,914,972,802,072,801,280/2,039,150,345
  6. Step 6: Final answer
    x = 4,862,305,923.83

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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.