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Finding the Third Proportional to 31,831 and 48,763

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Solution

The third proportional to 31,831 and 48,763 is: 74,701.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,831 : 48,763 = 48,763 : x
  2. Step 2: Convert to fraction form
    31,831/48,763 = 48,763/x
  3. Step 3: Cross multiply
    31,831x = 48,763 × 48,763
  4. Step 4: Simplify right side
    31,831x = 2,377,830,169
  5. Step 5: Solve for x
    x = 2,377,830,169/31,831
  6. Step 6: Final answer
    x = 74,701.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.