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Finding the Third Proportional to 414,721 and 909,794

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Solution

The third proportional to 414,721 and 909,794 is: 1,995,860.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,721 : 909,794 = 909,794 : x
  2. Step 2: Convert to fraction form
    414,721/909,794 = 909,794/x
  3. Step 3: Cross multiply
    414,721x = 909,794 × 909,794
  4. Step 4: Simplify right side
    414,721x = 827,725,122,436
  5. Step 5: Solve for x
    x = 827,725,122,436/414,721
  6. Step 6: Final answer
    x = 1,995,860.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.