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Finding the Third Proportional to 6,333.19 and 8,994.80

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Solution

The third proportional to 6,333.19 and 8,994.80 is: 12,774.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,333.19 : 8,994.80 = 8,994.80 : x
  2. Step 2: Convert to fraction form
    6,333.19/8,994.80 = 8,994.80/x
  3. Step 3: Cross multiply
    6,333.19x = 8,994.80 × 8,994.80
  4. Step 4: Simplify right side
    6,333.19x = 80,906,370.82
  5. Step 5: Solve for x
    x = 80,906,370.82/6,333.19
  6. Step 6: Final answer
    x = 12,774.98

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.