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Finding the Third Proportional to 10,230.75 and 20,414.25

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Solution

The third proportional to 10,230.75 and 20,414.25 is: 40,734.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230.75 : 20,414.25 = 20,414.25 : x
  2. Step 2: Convert to fraction form
    10,230.75/20,414.25 = 20,414.25/x
  3. Step 3: Cross multiply
    10,230.75x = 20,414.25 × 20,414.25
  4. Step 4: Simplify right side
    10,230.75x = 416,741,603.06
  5. Step 5: Solve for x
    x = 416,741,603.06/10,230.75
  6. Step 6: Final answer
    x = 40,734.22

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.