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Finding the Third Proportional to 274,373,930,910 and 594,340,318,127

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Solution

The third proportional to 274,373,930,910 and 594,340,318,127 is: 1,287,441,604,163.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,373,930,910 : 594,340,318,127 = 594,340,318,127 : x
  2. Step 2: Convert to fraction form
    274,373,930,910/594,340,318,127 = 594,340,318,127/x
  3. Step 3: Cross multiply
    274,373,930,910x = 594,340,318,127 × 594,340,318,127
  4. Step 4: Simplify right side
    274,373,930,910x = 353,240,413,751,303,586,447,360
  5. Step 5: Solve for x
    x = 353,240,413,751,303,586,447,360/274,373,930,910
  6. Step 6: Final answer
    x = 1,287,441,604,163.09

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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.