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Finding the Third Proportional to 101,966 and 218,728

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Solution

The third proportional to 101,966 and 218,728 is: 469,195.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,966 : 218,728 = 218,728 : x
  2. Step 2: Convert to fraction form
    101,966/218,728 = 218,728/x
  3. Step 3: Cross multiply
    101,966x = 218,728 × 218,728
  4. Step 4: Simplify right side
    101,966x = 47,841,937,984
  5. Step 5: Solve for x
    x = 47,841,937,984/101,966
  6. Step 6: Final answer
    x = 469,195.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.