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Finding the Third Proportional to 451,504 and 992,144

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Solution

The third proportional to 451,504 and 992,144 is: 2,180,157.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,504 : 992,144 = 992,144 : x
  2. Step 2: Convert to fraction form
    451,504/992,144 = 992,144/x
  3. Step 3: Cross multiply
    451,504x = 992,144 × 992,144
  4. Step 4: Simplify right side
    451,504x = 984,349,716,736
  5. Step 5: Solve for x
    x = 984,349,716,736/451,504
  6. Step 6: Final answer
    x = 2,180,157.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.