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Finding the Third Proportional to 407,889 and 874,827

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Solution

The third proportional to 407,889 and 874,827 is: 1,876,300.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,889 : 874,827 = 874,827 : x
  2. Step 2: Convert to fraction form
    407,889/874,827 = 874,827/x
  3. Step 3: Cross multiply
    407,889x = 874,827 × 874,827
  4. Step 4: Simplify right side
    407,889x = 765,322,279,929
  5. Step 5: Solve for x
    x = 765,322,279,929/407,889
  6. Step 6: Final answer
    x = 1,876,300.37

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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.