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Finding the Third Proportional to 407,888 and 874,826

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Solution

The third proportional to 407,888 and 874,826 is: 1,876,300.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,888 : 874,826 = 874,826 : x
  2. Step 2: Convert to fraction form
    407,888/874,826 = 874,826/x
  3. Step 3: Cross multiply
    407,888x = 874,826 × 874,826
  4. Step 4: Simplify right side
    407,888x = 765,320,530,276
  5. Step 5: Solve for x
    x = 765,320,530,276/407,888
  6. Step 6: Final answer
    x = 1,876,300.68

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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.