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Finding the Third Proportional to 10,185.75 and 20,629.69

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Solution

The third proportional to 10,185.75 and 20,629.69 is: 41,782.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,185.75 : 20,629.69 = 20,629.69 : x
  2. Step 2: Convert to fraction form
    10,185.75/20,629.69 = 20,629.69/x
  3. Step 3: Cross multiply
    10,185.75x = 20,629.69 × 20,629.69
  4. Step 4: Simplify right side
    10,185.75x = 425,584,006.35
  5. Step 5: Solve for x
    x = 425,584,006.35/10,185.75
  6. Step 6: Final answer
    x = 41,782.29

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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.