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Finding the Third Proportional to 6,102.84 and 8,232.89

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Solution

The third proportional to 6,102.84 and 8,232.89 is: 11,106.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.84 : 8,232.89 = 8,232.89 : x
  2. Step 2: Convert to fraction form
    6,102.84/8,232.89 = 8,232.89/x
  3. Step 3: Cross multiply
    6,102.84x = 8,232.89 × 8,232.89
  4. Step 4: Simplify right side
    6,102.84x = 67,780,488.04
  5. Step 5: Solve for x
    x = 67,780,488.04/6,102.84
  6. Step 6: Final answer
    x = 11,106.38

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.