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Finding the Third Proportional to 6,102.84 and 8,166.66

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Solution

The third proportional to 6,102.84 and 8,166.66 is: 10,928.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.84 : 8,166.66 = 8,166.66 : x
  2. Step 2: Convert to fraction form
    6,102.84/8,166.66 = 8,166.66/x
  3. Step 3: Cross multiply
    6,102.84x = 8,166.66 × 8,166.66
  4. Step 4: Simplify right side
    6,102.84x = 66,694,274.31
  5. Step 5: Solve for x
    x = 66,694,274.31/6,102.84
  6. Step 6: Final answer
    x = 10,928.39

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.