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Finding the Third Proportional to 262,670 and 394,005

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Solution

The third proportional to 262,670 and 394,005 is: 591,007.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,670 : 394,005 = 394,005 : x
  2. Step 2: Convert to fraction form
    262,670/394,005 = 394,005/x
  3. Step 3: Cross multiply
    262,670x = 394,005 × 394,005
  4. Step 4: Simplify right side
    262,670x = 155,239,940,025
  5. Step 5: Solve for x
    x = 155,239,940,025/262,670
  6. Step 6: Final answer
    x = 591,007.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.