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Finding the Third Proportional to 20,220 and 28,079

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Solution

The third proportional to 20,220 and 28,079 is: 38,992.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,220 : 28,079 = 28,079 : x
  2. Step 2: Convert to fraction form
    20,220/28,079 = 28,079/x
  3. Step 3: Cross multiply
    20,220x = 28,079 × 28,079
  4. Step 4: Simplify right side
    20,220x = 788,430,241
  5. Step 5: Solve for x
    x = 788,430,241/20,220
  6. Step 6: Final answer
    x = 38,992.59

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.