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Finding the Third Proportional to 4.23 and 8.94

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Solution

The third proportional to 4.23 and 8.94 is: 18.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.23 : 8.94 = 8.94 : x
  2. Step 2: Convert to fraction form
    4.23/8.94 = 8.94/x
  3. Step 3: Cross multiply
    4.23x = 8.94 × 8.94
  4. Step 4: Simplify right side
    4.23x = 79.93
  5. Step 5: Solve for x
    x = 79.93/4.23
  6. Step 6: Final answer
    x = 18.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.