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Finding the Third Proportional to 100,640 and 218,744

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Solution

The third proportional to 100,640 and 218,744 is: 475,446.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,640 : 218,744 = 218,744 : x
  2. Step 2: Convert to fraction form
    100,640/218,744 = 218,744/x
  3. Step 3: Cross multiply
    100,640x = 218,744 × 218,744
  4. Step 4: Simplify right side
    100,640x = 47,848,937,536
  5. Step 5: Solve for x
    x = 47,848,937,536/100,640
  6. Step 6: Final answer
    x = 475,446.52

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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.