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Finding the Third Proportional to 412,138 and 874,820

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Solution

The third proportional to 412,138 and 874,820 is: 1,856,926.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,138 : 874,820 = 874,820 : x
  2. Step 2: Convert to fraction form
    412,138/874,820 = 874,820/x
  3. Step 3: Cross multiply
    412,138x = 874,820 × 874,820
  4. Step 4: Simplify right side
    412,138x = 765,310,032,400
  5. Step 5: Solve for x
    x = 765,310,032,400/412,138
  6. Step 6: Final answer
    x = 1,856,926.64

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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.