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Finding the Third Proportional to 414,992 and 905,368

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Solution

The third proportional to 414,992 and 905,368 is: 1,975,197.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,992 : 905,368 = 905,368 : x
  2. Step 2: Convert to fraction form
    414,992/905,368 = 905,368/x
  3. Step 3: Cross multiply
    414,992x = 905,368 × 905,368
  4. Step 4: Simplify right side
    414,992x = 819,691,215,424
  5. Step 5: Solve for x
    x = 819,691,215,424/414,992
  6. Step 6: Final answer
    x = 1,975,197.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.