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Finding the Third Proportional to 81,910,641 and 175,978,041

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Solution

The third proportional to 81,910,641 and 175,978,041 is: 378,073,844.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,910,641 : 175,978,041 = 175,978,041 : x
  2. Step 2: Convert to fraction form
    81,910,641/175,978,041 = 175,978,041/x
  3. Step 3: Cross multiply
    81,910,641x = 175,978,041 × 175,978,041
  4. Step 4: Simplify right side
    81,910,641x = 30,968,270,914,197,680
  5. Step 5: Solve for x
    x = 30,968,270,914,197,680/81,910,641
  6. Step 6: Final answer
    x = 378,073,844.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.