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Finding the Third Proportional to 13,408 and 18,526

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Solution

The third proportional to 13,408 and 18,526 is: 25,597.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,408 : 18,526 = 18,526 : x
  2. Step 2: Convert to fraction form
    13,408/18,526 = 18,526/x
  3. Step 3: Cross multiply
    13,408x = 18,526 × 18,526
  4. Step 4: Simplify right side
    13,408x = 343,212,676
  5. Step 5: Solve for x
    x = 343,212,676/13,408
  6. Step 6: Final answer
    x = 25,597.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.