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Finding the Third Proportional to 13,288 and 19,675

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Solution

The third proportional to 13,288 and 19,675 is: 29,131.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,288 : 19,675 = 19,675 : x
  2. Step 2: Convert to fraction form
    13,288/19,675 = 19,675/x
  3. Step 3: Cross multiply
    13,288x = 19,675 × 19,675
  4. Step 4: Simplify right side
    13,288x = 387,105,625
  5. Step 5: Solve for x
    x = 387,105,625/13,288
  6. Step 6: Final answer
    x = 29,131.97

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.