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Finding the Third Proportional to 6.42 and 9.95

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Solution

The third proportional to 6.42 and 9.95 is: 15.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.42 : 9.95 = 9.95 : x
  2. Step 2: Convert to fraction form
    6.42/9.95 = 9.95/x
  3. Step 3: Cross multiply
    6.42x = 9.95 × 9.95
  4. Step 4: Simplify right side
    6.42x = 99.07
  5. Step 5: Solve for x
    x = 99.07/6.42
  6. Step 6: Final answer
    x = 15.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.