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Finding the Third Proportional to 3,505.22 and 5,841.84

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Solution

The third proportional to 3,505.22 and 5,841.84 is: 9,736.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.22 : 5,841.84 = 5,841.84 : x
  2. Step 2: Convert to fraction form
    3,505.22/5,841.84 = 5,841.84/x
  3. Step 3: Cross multiply
    3,505.22x = 5,841.84 × 5,841.84
  4. Step 4: Simplify right side
    3,505.22x = 34,127,138.40
  5. Step 5: Solve for x
    x = 34,127,138.40/3,505.22
  6. Step 6: Final answer
    x = 9,736.09

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.