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Finding the Third Proportional to 192,270 and 421,980

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Solution

The third proportional to 192,270 and 421,980 is: 926,130.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,270 : 421,980 = 421,980 : x
  2. Step 2: Convert to fraction form
    192,270/421,980 = 421,980/x
  3. Step 3: Cross multiply
    192,270x = 421,980 × 421,980
  4. Step 4: Simplify right side
    192,270x = 178,067,120,400
  5. Step 5: Solve for x
    x = 178,067,120,400/192,270
  6. Step 6: Final answer
    x = 926,130.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.