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Finding the Third Proportional to 192,192 and 399,680

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Solution

The third proportional to 192,192 and 399,680 is: 831,169.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,192 : 399,680 = 399,680 : x
  2. Step 2: Convert to fraction form
    192,192/399,680 = 399,680/x
  3. Step 3: Cross multiply
    192,192x = 399,680 × 399,680
  4. Step 4: Simplify right side
    192,192x = 159,744,102,400
  5. Step 5: Solve for x
    x = 159,744,102,400/192,192
  6. Step 6: Final answer
    x = 831,169.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.