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Finding the Third Proportional to 6.86 and 7.87

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Solution

The third proportional to 6.86 and 7.87 is: 9.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.86 : 7.87 = 7.87 : x
  2. Step 2: Convert to fraction form
    6.86/7.87 = 7.87/x
  3. Step 3: Cross multiply
    6.86x = 7.87 × 7.87
  4. Step 4: Simplify right side
    6.86x = 62.00
  5. Step 5: Solve for x
    x = 62.00/6.86
  6. Step 6: Final answer
    x = 9.04

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.