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Finding the Third Proportional to 408,696 and 892,020

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Solution

The third proportional to 408,696 and 892,020 is: 1,946,923.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,696 : 892,020 = 892,020 : x
  2. Step 2: Convert to fraction form
    408,696/892,020 = 892,020/x
  3. Step 3: Cross multiply
    408,696x = 892,020 × 892,020
  4. Step 4: Simplify right side
    408,696x = 795,699,680,400
  5. Step 5: Solve for x
    x = 795,699,680,400/408,696
  6. Step 6: Final answer
    x = 1,946,923.09

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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.