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Finding the Third Proportional to 17,622 and 20,720

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Solution

The third proportional to 17,622 and 20,720 is: 24,362.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,622 : 20,720 = 20,720 : x
  2. Step 2: Convert to fraction form
    17,622/20,720 = 20,720/x
  3. Step 3: Cross multiply
    17,622x = 20,720 × 20,720
  4. Step 4: Simplify right side
    17,622x = 429,318,400
  5. Step 5: Solve for x
    x = 429,318,400/17,622
  6. Step 6: Final answer
    x = 24,362.64

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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.