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Finding the Third Proportional to 624,447 and 892,317

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Solution

The third proportional to 624,447 and 892,317 is: 1,275,095.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,447 : 892,317 = 892,317 : x
  2. Step 2: Convert to fraction form
    624,447/892,317 = 892,317/x
  3. Step 3: Cross multiply
    624,447x = 892,317 × 892,317
  4. Step 4: Simplify right side
    624,447x = 796,229,628,489
  5. Step 5: Solve for x
    x = 796,229,628,489/624,447
  6. Step 6: Final answer
    x = 1,275,095.61

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.