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Finding the Third Proportional to 137,990,256 and 303,979,512

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Solution

The third proportional to 137,990,256 and 303,979,512 is: 669,638,178.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,990,256 : 303,979,512 = 303,979,512 : x
  2. Step 2: Convert to fraction form
    137,990,256/303,979,512 = 303,979,512/x
  3. Step 3: Cross multiply
    137,990,256x = 303,979,512 × 303,979,512
  4. Step 4: Simplify right side
    137,990,256x = 92,403,543,715,758,144
  5. Step 5: Solve for x
    x = 92,403,543,715,758,144/137,990,256
  6. Step 6: Final answer
    x = 669,638,178.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.