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Finding the Third Proportional to 100,884.75 and 218,469

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Solution

The third proportional to 100,884.75 and 218,469 is: 473,101.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,884.75 : 218,469 = 218,469 : x
  2. Step 2: Convert to fraction form
    100,884.75/218,469 = 218,469/x
  3. Step 3: Cross multiply
    100,884.75x = 218,469 × 218,469
  4. Step 4: Simplify right side
    100,884.75x = 47,728,703,961
  5. Step 5: Solve for x
    x = 47,728,703,961/100,884.75
  6. Step 6: Final answer
    x = 473,101.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.