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Finding the Third Proportional to 172,452,456 and 260,469,126

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Solution

The third proportional to 172,452,456 and 260,469,126 is: 393,407,940.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,452,456 : 260,469,126 = 260,469,126 : x
  2. Step 2: Convert to fraction form
    172,452,456/260,469,126 = 260,469,126/x
  3. Step 3: Cross multiply
    172,452,456x = 260,469,126 × 260,469,126
  4. Step 4: Simplify right side
    172,452,456x = 67,844,165,599,203,872
  5. Step 5: Solve for x
    x = 67,844,165,599,203,872/172,452,456
  6. Step 6: Final answer
    x = 393,407,940.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.