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Finding the Third Proportional to 2,121.94 and 4,608.38

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Solution

The third proportional to 2,121.94 and 4,608.38 is: 10,008.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.94 : 4,608.38 = 4,608.38 : x
  2. Step 2: Convert to fraction form
    2,121.94/4,608.38 = 4,608.38/x
  3. Step 3: Cross multiply
    2,121.94x = 4,608.38 × 4,608.38
  4. Step 4: Simplify right side
    2,121.94x = 21,237,120.14
  5. Step 5: Solve for x
    x = 21,237,120.14/2,121.94
  6. Step 6: Final answer
    x = 10,008.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.