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Finding the Third Proportional to 274,373,930,907 and 594,340,318,120.50

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Solution

The third proportional to 274,373,930,907 and 594,340,318,120.50 is: 1,287,441,604,149.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,373,930,907 : 594,340,318,120.50 = 594,340,318,120.50 : x
  2. Step 2: Convert to fraction form
    274,373,930,907/594,340,318,120.50 = 594,340,318,120.50/x
  3. Step 3: Cross multiply
    274,373,930,907x = 594,340,318,120.50 × 594,340,318,120.50
  4. Step 4: Simplify right side
    274,373,930,907x = 353,240,413,743,577,141,608,448
  5. Step 5: Solve for x
    x = 353,240,413,743,577,141,608,448/274,373,930,907
  6. Step 6: Final answer
    x = 1,287,441,604,149.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.