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Finding the Third Proportional to 122,256,592 and 182,900,163

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Solution

The third proportional to 122,256,592 and 182,900,163 is: 273,625,078.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,256,592 : 182,900,163 = 182,900,163 : x
  2. Step 2: Convert to fraction form
    122,256,592/182,900,163 = 182,900,163/x
  3. Step 3: Cross multiply
    122,256,592x = 182,900,163 × 182,900,163
  4. Step 4: Simplify right side
    122,256,592x = 33,452,469,625,426,568
  5. Step 5: Solve for x
    x = 33,452,469,625,426,568/122,256,592
  6. Step 6: Final answer
    x = 273,625,078.85

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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.