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Finding the Third Proportional to 409,200 and 892,740

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Solution

The third proportional to 409,200 and 892,740 is: 1,947,665.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,200 : 892,740 = 892,740 : x
  2. Step 2: Convert to fraction form
    409,200/892,740 = 892,740/x
  3. Step 3: Cross multiply
    409,200x = 892,740 × 892,740
  4. Step 4: Simplify right side
    409,200x = 796,984,707,600
  5. Step 5: Solve for x
    x = 796,984,707,600/409,200
  6. Step 6: Final answer
    x = 1,947,665.46

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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.