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Finding the Third Proportional to 146,170 and 218,669

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Solution

The third proportional to 146,170 and 218,669 is: 327,126.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,170 : 218,669 = 218,669 : x
  2. Step 2: Convert to fraction form
    146,170/218,669 = 218,669/x
  3. Step 3: Cross multiply
    146,170x = 218,669 × 218,669
  4. Step 4: Simplify right side
    146,170x = 47,816,131,561
  5. Step 5: Solve for x
    x = 47,816,131,561/146,170
  6. Step 6: Final answer
    x = 327,126.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.