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Finding the Third Proportional to 20,678 and 31,958

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Solution

The third proportional to 20,678 and 31,958 is: 49,391.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,678 : 31,958 = 31,958 : x
  2. Step 2: Convert to fraction form
    20,678/31,958 = 31,958/x
  3. Step 3: Cross multiply
    20,678x = 31,958 × 31,958
  4. Step 4: Simplify right side
    20,678x = 1,021,313,764
  5. Step 5: Solve for x
    x = 1,021,313,764/20,678
  6. Step 6: Final answer
    x = 49,391.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.