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Finding the Third Proportional to 15,942.25 and 20,213.75

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Solution

The third proportional to 15,942.25 and 20,213.75 is: 25,629.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,942.25 : 20,213.75 = 20,213.75 : x
  2. Step 2: Convert to fraction form
    15,942.25/20,213.75 = 20,213.75/x
  3. Step 3: Cross multiply
    15,942.25x = 20,213.75 × 20,213.75
  4. Step 4: Simplify right side
    15,942.25x = 408,595,689.06
  5. Step 5: Solve for x
    x = 408,595,689.06/15,942.25
  6. Step 6: Final answer
    x = 25,629.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.