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Finding the Third Proportional to 407,886 and 874,822

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Solution

The third proportional to 407,886 and 874,822 is: 1,876,292.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,886 : 874,822 = 874,822 : x
  2. Step 2: Convert to fraction form
    407,886/874,822 = 874,822/x
  3. Step 3: Cross multiply
    407,886x = 874,822 × 874,822
  4. Step 4: Simplify right side
    407,886x = 765,313,531,684
  5. Step 5: Solve for x
    x = 765,313,531,684/407,886
  6. Step 6: Final answer
    x = 1,876,292.72

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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.