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Finding the Third Proportional to 412,128 and 874,800

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Solution

The third proportional to 412,128 and 874,800 is: 1,856,886.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,128 : 874,800 = 874,800 : x
  2. Step 2: Convert to fraction form
    412,128/874,800 = 874,800/x
  3. Step 3: Cross multiply
    412,128x = 874,800 × 874,800
  4. Step 4: Simplify right side
    412,128x = 765,275,040,000
  5. Step 5: Solve for x
    x = 765,275,040,000/412,128
  6. Step 6: Final answer
    x = 1,856,886.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.