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Finding the Third Proportional to 192,257 and 421,954

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Solution

The third proportional to 192,257 and 421,954 is: 926,079.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,257 : 421,954 = 421,954 : x
  2. Step 2: Convert to fraction form
    192,257/421,954 = 421,954/x
  3. Step 3: Cross multiply
    192,257x = 421,954 × 421,954
  4. Step 4: Simplify right side
    192,257x = 178,045,178,116
  5. Step 5: Solve for x
    x = 178,045,178,116/192,257
  6. Step 6: Final answer
    x = 926,079.04

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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.