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Finding the Third Proportional to 1,410,128 and 3,100,192

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Solution

The third proportional to 1,410,128 and 3,100,192 is: 6,815,828.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,128 : 3,100,192 = 3,100,192 : x
  2. Step 2: Convert to fraction form
    1,410,128/3,100,192 = 3,100,192/x
  3. Step 3: Cross multiply
    1,410,128x = 3,100,192 × 3,100,192
  4. Step 4: Simplify right side
    1,410,128x = 9,611,190,436,864
  5. Step 5: Solve for x
    x = 9,611,190,436,864/1,410,128
  6. Step 6: Final answer
    x = 6,815,828.38

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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.