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Finding the Third Proportional to 13,085 and 20,555

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Solution

The third proportional to 13,085 and 20,555 is: 32,289.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,085 : 20,555 = 20,555 : x
  2. Step 2: Convert to fraction form
    13,085/20,555 = 20,555/x
  3. Step 3: Cross multiply
    13,085x = 20,555 × 20,555
  4. Step 4: Simplify right side
    13,085x = 422,508,025
  5. Step 5: Solve for x
    x = 422,508,025/13,085
  6. Step 6: Final answer
    x = 32,289.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.