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Finding the Third Proportional to 101,816 and 218,224

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Solution

The third proportional to 101,816 and 218,224 is: 467,723.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,816 : 218,224 = 218,224 : x
  2. Step 2: Convert to fraction form
    101,816/218,224 = 218,224/x
  3. Step 3: Cross multiply
    101,816x = 218,224 × 218,224
  4. Step 4: Simplify right side
    101,816x = 47,621,714,176
  5. Step 5: Solve for x
    x = 47,621,714,176/101,816
  6. Step 6: Final answer
    x = 467,723.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.