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Finding the Third Proportional to 258,087,097.97 and 394,536,762.98

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Solution

The third proportional to 258,087,097.97 and 394,536,762.98 is: 603,126,845.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,087,097.97 : 394,536,762.98 = 394,536,762.98 : x
  2. Step 2: Convert to fraction form
    258,087,097.97/394,536,762.98 = 394,536,762.98/x
  3. Step 3: Cross multiply
    258,087,097.97x = 394,536,762.98 × 394,536,762.98
  4. Step 4: Simplify right side
    258,087,097.97x = 155,659,257,346,177,056
  5. Step 5: Solve for x
    x = 155,659,257,346,177,056/258,087,097.97
  6. Step 6: Final answer
    x = 603,126,845.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.