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Finding the Third Proportional to 4.34 and 11.93

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Solution

The third proportional to 4.34 and 11.93 is: 32.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.34 : 11.93 = 11.93 : x
  2. Step 2: Convert to fraction form
    4.34/11.93 = 11.93/x
  3. Step 3: Cross multiply
    4.34x = 11.93 × 11.93
  4. Step 4: Simplify right side
    4.34x = 142.37
  5. Step 5: Solve for x
    x = 142.37/4.34
  6. Step 6: Final answer
    x = 32.81

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Why These Related Problems?

These problems maintain the same ratio (2.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.