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Finding the Third Proportional to 20,405 and 43,919

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Solution

The third proportional to 20,405 and 43,919 is: 94,529.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,405 : 43,919 = 43,919 : x
  2. Step 2: Convert to fraction form
    20,405/43,919 = 43,919/x
  3. Step 3: Cross multiply
    20,405x = 43,919 × 43,919
  4. Step 4: Simplify right side
    20,405x = 1,928,878,561
  5. Step 5: Solve for x
    x = 1,928,878,561/20,405
  6. Step 6: Final answer
    x = 94,529.70

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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.