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Finding the Third Proportional to 4.21 and 6.33

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Solution

The third proportional to 4.21 and 6.33 is: 9.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.21 : 6.33 = 6.33 : x
  2. Step 2: Convert to fraction form
    4.21/6.33 = 6.33/x
  3. Step 3: Cross multiply
    4.21x = 6.33 × 6.33
  4. Step 4: Simplify right side
    4.21x = 40.01
  5. Step 5: Solve for x
    x = 40.01/4.21
  6. Step 6: Final answer
    x = 9.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.