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Finding the Third Proportional to 20,779 and 31,163

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Solution

The third proportional to 20,779 and 31,163 is: 46,736.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,779 : 31,163 = 31,163 : x
  2. Step 2: Convert to fraction form
    20,779/31,163 = 31,163/x
  3. Step 3: Cross multiply
    20,779x = 31,163 × 31,163
  4. Step 4: Simplify right side
    20,779x = 971,132,569
  5. Step 5: Solve for x
    x = 971,132,569/20,779
  6. Step 6: Final answer
    x = 46,736.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.