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Finding the Third Proportional to 11,679 and 17,521

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Solution

The third proportional to 11,679 and 17,521 is: 26,285.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,679 : 17,521 = 17,521 : x
  2. Step 2: Convert to fraction form
    11,679/17,521 = 17,521/x
  3. Step 3: Cross multiply
    11,679x = 17,521 × 17,521
  4. Step 4: Simplify right side
    11,679x = 306,985,441
  5. Step 5: Solve for x
    x = 306,985,441/11,679
  6. Step 6: Final answer
    x = 26,285.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.