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Finding the Third Proportional to 13,419 and 17,649

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Solution

The third proportional to 13,419 and 17,649 is: 23,212.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,419 : 17,649 = 17,649 : x
  2. Step 2: Convert to fraction form
    13,419/17,649 = 17,649/x
  3. Step 3: Cross multiply
    13,419x = 17,649 × 17,649
  4. Step 4: Simplify right side
    13,419x = 311,487,201
  5. Step 5: Solve for x
    x = 311,487,201/13,419
  6. Step 6: Final answer
    x = 23,212.40

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.