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Finding the Third Proportional to 101,412 and 218,412

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Solution

The third proportional to 101,412 and 218,412 is: 470,396.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,412 : 218,412 = 218,412 : x
  2. Step 2: Convert to fraction form
    101,412/218,412 = 218,412/x
  3. Step 3: Cross multiply
    101,412x = 218,412 × 218,412
  4. Step 4: Simplify right side
    101,412x = 47,703,801,744
  5. Step 5: Solve for x
    x = 47,703,801,744/101,412
  6. Step 6: Final answer
    x = 470,396.03

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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.