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Finding the Third Proportional to 7.86 and 16.42

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Solution

The third proportional to 7.86 and 16.42 is: 34.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.86 : 16.42 = 16.42 : x
  2. Step 2: Convert to fraction form
    7.86/16.42 = 16.42/x
  3. Step 3: Cross multiply
    7.86x = 16.42 × 16.42
  4. Step 4: Simplify right side
    7.86x = 269.55
  5. Step 5: Solve for x
    x = 269.55/7.86
  6. Step 6: Final answer
    x = 34.31

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.