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Finding the Third Proportional to 13,551 and 18,459

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Solution

The third proportional to 13,551 and 18,459 is: 25,144.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,551 : 18,459 = 18,459 : x
  2. Step 2: Convert to fraction form
    13,551/18,459 = 18,459/x
  3. Step 3: Cross multiply
    13,551x = 18,459 × 18,459
  4. Step 4: Simplify right side
    13,551x = 340,734,681
  5. Step 5: Solve for x
    x = 340,734,681/13,551
  6. Step 6: Final answer
    x = 25,144.62

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.