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Finding the Third Proportional to 20,115 and 23,821

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Solution

The third proportional to 20,115 and 23,821 is: 28,209.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,115 : 23,821 = 23,821 : x
  2. Step 2: Convert to fraction form
    20,115/23,821 = 23,821/x
  3. Step 3: Cross multiply
    20,115x = 23,821 × 23,821
  4. Step 4: Simplify right side
    20,115x = 567,440,041
  5. Step 5: Solve for x
    x = 567,440,041/20,115
  6. Step 6: Final answer
    x = 28,209.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.