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Finding the Third Proportional to 13,638 and 18,417

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Solution

The third proportional to 13,638 and 18,417 is: 24,870.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,638 : 18,417 = 18,417 : x
  2. Step 2: Convert to fraction form
    13,638/18,417 = 18,417/x
  3. Step 3: Cross multiply
    13,638x = 18,417 × 18,417
  4. Step 4: Simplify right side
    13,638x = 339,185,889
  5. Step 5: Solve for x
    x = 339,185,889/13,638
  6. Step 6: Final answer
    x = 24,870.65

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.