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Finding the Third Proportional to 427,177,826 and 641,904,165

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Solution

The third proportional to 427,177,826 and 641,904,165 is: 964,565,415.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,177,826 : 641,904,165 = 641,904,165 : x
  2. Step 2: Convert to fraction form
    427,177,826/641,904,165 = 641,904,165/x
  3. Step 3: Cross multiply
    427,177,826x = 641,904,165 × 641,904,165
  4. Step 4: Simplify right side
    427,177,826x = 412,040,957,044,347,200
  5. Step 5: Solve for x
    x = 412,040,957,044,347,200/427,177,826
  6. Step 6: Final answer
    x = 964,565,415.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.