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Finding the Third Proportional to 4.21 and 5.39

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Solution

The third proportional to 4.21 and 5.39 is: 6.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.21 : 5.39 = 5.39 : x
  2. Step 2: Convert to fraction form
    4.21/5.39 = 5.39/x
  3. Step 3: Cross multiply
    4.21x = 5.39 × 5.39
  4. Step 4: Simplify right side
    4.21x = 29.10
  5. Step 5: Solve for x
    x = 29.10/4.21
  6. Step 6: Final answer
    x = 6.92

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.