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Finding the Third Proportional to 13,511 and 20,453

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Solution

The third proportional to 13,511 and 20,453 is: 30,961.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,511 : 20,453 = 20,453 : x
  2. Step 2: Convert to fraction form
    13,511/20,453 = 20,453/x
  3. Step 3: Cross multiply
    13,511x = 20,453 × 20,453
  4. Step 4: Simplify right side
    13,511x = 418,325,209
  5. Step 5: Solve for x
    x = 418,325,209/13,511
  6. Step 6: Final answer
    x = 30,961.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.