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Finding the Third Proportional to 6.42 and 8.62

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Solution

The third proportional to 6.42 and 8.62 is: 11.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.42 : 8.62 = 8.62 : x
  2. Step 2: Convert to fraction form
    6.42/8.62 = 8.62/x
  3. Step 3: Cross multiply
    6.42x = 8.62 × 8.62
  4. Step 4: Simplify right side
    6.42x = 74.23
  5. Step 5: Solve for x
    x = 74.23/6.42
  6. Step 6: Final answer
    x = 11.56

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.