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Finding the Third Proportional to 20,390 and 43,858

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Solution

The third proportional to 20,390 and 43,858 is: 94,336.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,390 : 43,858 = 43,858 : x
  2. Step 2: Convert to fraction form
    20,390/43,858 = 43,858/x
  3. Step 3: Cross multiply
    20,390x = 43,858 × 43,858
  4. Step 4: Simplify right side
    20,390x = 1,923,524,164
  5. Step 5: Solve for x
    x = 1,923,524,164/20,390
  6. Step 6: Final answer
    x = 94,336.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.