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Finding the Third Proportional to 192,120 and 281,952

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Solution

The third proportional to 192,120 and 281,952 is: 413,787.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,120 : 281,952 = 281,952 : x
  2. Step 2: Convert to fraction form
    192,120/281,952 = 281,952/x
  3. Step 3: Cross multiply
    192,120x = 281,952 × 281,952
  4. Step 4: Simplify right side
    192,120x = 79,496,930,304
  5. Step 5: Solve for x
    x = 79,496,930,304/192,120
  6. Step 6: Final answer
    x = 413,787.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.