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Finding the Third Proportional to 100,080 and 215,568

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Solution

The third proportional to 100,080 and 215,568 is: 464,324.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,080 : 215,568 = 215,568 : x
  2. Step 2: Convert to fraction form
    100,080/215,568 = 215,568/x
  3. Step 3: Cross multiply
    100,080x = 215,568 × 215,568
  4. Step 4: Simplify right side
    100,080x = 46,469,562,624
  5. Step 5: Solve for x
    x = 46,469,562,624/100,080
  6. Step 6: Final answer
    x = 464,324.17

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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.