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Finding the Third Proportional to 6,340 and 7,994

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Solution

The third proportional to 6,340 and 7,994 is: 10,079.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340 : 7,994 = 7,994 : x
  2. Step 2: Convert to fraction form
    6,340/7,994 = 7,994/x
  3. Step 3: Cross multiply
    6,340x = 7,994 × 7,994
  4. Step 4: Simplify right side
    6,340x = 63,904,036
  5. Step 5: Solve for x
    x = 63,904,036/6,340
  6. Step 6: Final answer
    x = 10,079.50

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.