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Finding the Third Proportional to 4.27 and 6.43

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Solution

The third proportional to 4.27 and 6.43 is: 9.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.27 : 6.43 = 6.43 : x
  2. Step 2: Convert to fraction form
    4.27/6.43 = 6.43/x
  3. Step 3: Cross multiply
    4.27x = 6.43 × 6.43
  4. Step 4: Simplify right side
    4.27x = 41.33
  5. Step 5: Solve for x
    x = 41.33/4.27
  6. Step 6: Final answer
    x = 9.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.