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Finding the Third Proportional to 31,682 and 49,831

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Solution

The third proportional to 31,682 and 49,831 is: 78,376.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,682 : 49,831 = 49,831 : x
  2. Step 2: Convert to fraction form
    31,682/49,831 = 49,831/x
  3. Step 3: Cross multiply
    31,682x = 49,831 × 49,831
  4. Step 4: Simplify right side
    31,682x = 2,483,128,561
  5. Step 5: Solve for x
    x = 2,483,128,561/31,682
  6. Step 6: Final answer
    x = 78,376.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.