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Finding the Third Proportional to 4.23 and 8.92

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Solution

The third proportional to 4.23 and 8.92 is: 18.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.23 : 8.92 = 8.92 : x
  2. Step 2: Convert to fraction form
    4.23/8.92 = 8.92/x
  3. Step 3: Cross multiply
    4.23x = 8.92 × 8.92
  4. Step 4: Simplify right side
    4.23x = 79.63
  5. Step 5: Solve for x
    x = 79.63/4.23
  6. Step 6: Final answer
    x = 18.82

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.