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Finding the Third Proportional to 407,891 and 874,811

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Solution

The third proportional to 407,891 and 874,811 is: 1,876,222.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,891 : 874,811 = 874,811 : x
  2. Step 2: Convert to fraction form
    407,891/874,811 = 874,811/x
  3. Step 3: Cross multiply
    407,891x = 874,811 × 874,811
  4. Step 4: Simplify right side
    407,891x = 765,294,285,721
  5. Step 5: Solve for x
    x = 765,294,285,721/407,891
  6. Step 6: Final answer
    x = 1,876,222.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.