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Finding the Third Proportional to 13,647 and 20,865

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Solution

The third proportional to 13,647 and 20,865 is: 31,900.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647 : 20,865 = 20,865 : x
  2. Step 2: Convert to fraction form
    13,647/20,865 = 20,865/x
  3. Step 3: Cross multiply
    13,647x = 20,865 × 20,865
  4. Step 4: Simplify right side
    13,647x = 435,348,225
  5. Step 5: Solve for x
    x = 435,348,225/13,647
  6. Step 6: Final answer
    x = 31,900.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.