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Finding the Third Proportional to 31,273.75 and 63,821

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Solution

The third proportional to 31,273.75 and 63,821 is: 130,240.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,273.75 : 63,821 = 63,821 : x
  2. Step 2: Convert to fraction form
    31,273.75/63,821 = 63,821/x
  3. Step 3: Cross multiply
    31,273.75x = 63,821 × 63,821
  4. Step 4: Simplify right side
    31,273.75x = 4,073,120,041
  5. Step 5: Solve for x
    x = 4,073,120,041/31,273.75
  6. Step 6: Final answer
    x = 130,240.86

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.