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Finding the Third Proportional to 4,843.62 and 10,640.14

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Solution

The third proportional to 4,843.62 and 10,640.14 is: 23,373.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.62 : 10,640.14 = 10,640.14 : x
  2. Step 2: Convert to fraction form
    4,843.62/10,640.14 = 10,640.14/x
  3. Step 3: Cross multiply
    4,843.62x = 10,640.14 × 10,640.14
  4. Step 4: Simplify right side
    4,843.62x = 113,212,675.65
  5. Step 5: Solve for x
    x = 113,212,675.65/4,843.62
  6. Step 6: Final answer
    x = 23,373.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.