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Finding the Third Proportional to 192,252 and 412,920

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Solution

The third proportional to 192,252 and 412,920 is: 886,872.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,252 : 412,920 = 412,920 : x
  2. Step 2: Convert to fraction form
    192,252/412,920 = 412,920/x
  3. Step 3: Cross multiply
    192,252x = 412,920 × 412,920
  4. Step 4: Simplify right side
    192,252x = 170,502,926,400
  5. Step 5: Solve for x
    x = 170,502,926,400/192,252
  6. Step 6: Final answer
    x = 886,872.06

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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.