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Finding the Third Proportional to 13,645 and 20,383

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Solution

The third proportional to 13,645 and 20,383 is: 30,448.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,645 : 20,383 = 20,383 : x
  2. Step 2: Convert to fraction form
    13,645/20,383 = 20,383/x
  3. Step 3: Cross multiply
    13,645x = 20,383 × 20,383
  4. Step 4: Simplify right side
    13,645x = 415,466,689
  5. Step 5: Solve for x
    x = 415,466,689/13,645
  6. Step 6: Final answer
    x = 30,448.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.