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Finding the Third Proportional to 115,972 and 222,728

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Solution

The third proportional to 115,972 and 222,728 is: 427,756.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,972 : 222,728 = 222,728 : x
  2. Step 2: Convert to fraction form
    115,972/222,728 = 222,728/x
  3. Step 3: Cross multiply
    115,972x = 222,728 × 222,728
  4. Step 4: Simplify right side
    115,972x = 49,607,761,984
  5. Step 5: Solve for x
    x = 49,607,761,984/115,972
  6. Step 6: Final answer
    x = 427,756.37

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.