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Finding the Third Proportional to 6,786 and 7,686

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Solution

The third proportional to 6,786 and 7,686 is: 8,705.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786 : 7,686 = 7,686 : x
  2. Step 2: Convert to fraction form
    6,786/7,686 = 7,686/x
  3. Step 3: Cross multiply
    6,786x = 7,686 × 7,686
  4. Step 4: Simplify right side
    6,786x = 59,074,596
  5. Step 5: Solve for x
    x = 59,074,596/6,786
  6. Step 6: Final answer
    x = 8,705.36

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.