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Finding the Third Proportional to 100,018.97 and 218,012.34

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Solution

The third proportional to 100,018.97 and 218,012.34 is: 475,203.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,018.97 : 218,012.34 = 218,012.34 : x
  2. Step 2: Convert to fraction form
    100,018.97/218,012.34 = 218,012.34/x
  3. Step 3: Cross multiply
    100,018.97x = 218,012.34 × 218,012.34
  4. Step 4: Simplify right side
    100,018.97x = 47,529,382,027.37
  5. Step 5: Solve for x
    x = 47,529,382,027.37/100,018.97
  6. Step 6: Final answer
    x = 475,203.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.