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Finding the Third Proportional to 10,028.50 and 20,300.50

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Solution

The third proportional to 10,028.50 and 20,300.50 is: 41,093.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,028.50 : 20,300.50 = 20,300.50 : x
  2. Step 2: Convert to fraction form
    10,028.50/20,300.50 = 20,300.50/x
  3. Step 3: Cross multiply
    10,028.50x = 20,300.50 × 20,300.50
  4. Step 4: Simplify right side
    10,028.50x = 412,110,300.25
  5. Step 5: Solve for x
    x = 412,110,300.25/10,028.50
  6. Step 6: Final answer
    x = 41,093.91

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.