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Finding the Third Proportional to 5,028.75 and 10,195.88

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Solution

The third proportional to 5,028.75 and 10,195.88 is: 20,672.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,028.75 : 10,195.88 = 10,195.88 : x
  2. Step 2: Convert to fraction form
    5,028.75/10,195.88 = 10,195.88/x
  3. Step 3: Cross multiply
    5,028.75x = 10,195.88 × 10,195.88
  4. Step 4: Simplify right side
    5,028.75x = 103,955,867.02
  5. Step 5: Solve for x
    x = 103,955,867.02/5,028.75
  6. Step 6: Final answer
    x = 20,672.31

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.