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Finding the Third Proportional to 192.98 and 399.47

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Solution

The third proportional to 192.98 and 399.47 is: 826.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.98 : 399.47 = 399.47 : x
  2. Step 2: Convert to fraction form
    192.98/399.47 = 399.47/x
  3. Step 3: Cross multiply
    192.98x = 399.47 × 399.47
  4. Step 4: Simplify right side
    192.98x = 159,575.28
  5. Step 5: Solve for x
    x = 159,575.28/192.98
  6. Step 6: Final answer
    x = 826.88

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.