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Finding the Third Proportional to 120.42 and 193.92

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Solution

The third proportional to 120.42 and 193.92 is: 312.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.42 : 193.92 = 193.92 : x
  2. Step 2: Convert to fraction form
    120.42/193.92 = 193.92/x
  3. Step 3: Cross multiply
    120.42x = 193.92 × 193.92
  4. Step 4: Simplify right side
    120.42x = 37,605.69
  5. Step 5: Solve for x
    x = 37,605.69/120.42
  6. Step 6: Final answer
    x = 312.28

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.