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Finding the Third Proportional to 20,005 and 28,815

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Solution

The third proportional to 20,005 and 28,815 is: 41,504.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,005 : 28,815 = 28,815 : x
  2. Step 2: Convert to fraction form
    20,005/28,815 = 28,815/x
  3. Step 3: Cross multiply
    20,005x = 28,815 × 28,815
  4. Step 4: Simplify right side
    20,005x = 830,304,225
  5. Step 5: Solve for x
    x = 830,304,225/20,005
  6. Step 6: Final answer
    x = 41,504.84

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.