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Finding the Third Proportional to 6.42 and 8.42

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Solution

The third proportional to 6.42 and 8.42 is: 11.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.42 : 8.42 = 8.42 : x
  2. Step 2: Convert to fraction form
    6.42/8.42 = 8.42/x
  3. Step 3: Cross multiply
    6.42x = 8.42 × 8.42
  4. Step 4: Simplify right side
    6.42x = 70.94
  5. Step 5: Solve for x
    x = 70.94/6.42
  6. Step 6: Final answer
    x = 11.05

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.