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Finding the Third Proportional to 1,250,250,128 and 2,722,676,128

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Solution

The third proportional to 1,250,250,128 and 2,722,676,128 is: 5,929,185,794.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250,250,128 : 2,722,676,128 = 2,722,676,128 : x
  2. Step 2: Convert to fraction form
    1,250,250,128/2,722,676,128 = 2,722,676,128/x
  3. Step 3: Cross multiply
    1,250,250,128x = 2,722,676,128 × 2,722,676,128
  4. Step 4: Simplify right side
    1,250,250,128x = 7,412,965,297,981,072,384
  5. Step 5: Solve for x
    x = 7,412,965,297,981,072,384/1,250,250,128
  6. Step 6: Final answer
    x = 5,929,185,794.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.