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Finding the Third Proportional to 907,190,907.75 and 1,979,282,142

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Solution

The third proportional to 907,190,907.75 and 1,979,282,142 is: 4,318,338,912.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    907,190,907.75 : 1,979,282,142 = 1,979,282,142 : x
  2. Step 2: Convert to fraction form
    907,190,907.75/1,979,282,142 = 1,979,282,142/x
  3. Step 3: Cross multiply
    907,190,907.75x = 1,979,282,142 × 1,979,282,142
  4. Step 4: Simplify right side
    907,190,907.75x = 3,917,557,797,640,108,032
  5. Step 5: Solve for x
    x = 3,917,557,797,640,108,032/907,190,907.75
  6. Step 6: Final answer
    x = 4,318,338,912.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.