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Finding the Third Proportional to 447,212 and 664,728

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Solution

The third proportional to 447,212 and 664,728 is: 988,039.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,212 : 664,728 = 664,728 : x
  2. Step 2: Convert to fraction form
    447,212/664,728 = 664,728/x
  3. Step 3: Cross multiply
    447,212x = 664,728 × 664,728
  4. Step 4: Simplify right side
    447,212x = 441,863,313,984
  5. Step 5: Solve for x
    x = 441,863,313,984/447,212
  6. Step 6: Final answer
    x = 988,039.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.