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Finding the Third Proportional to 11,169 and 12,609

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Solution

The third proportional to 11,169 and 12,609 is: 14,234.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,169 : 12,609 = 12,609 : x
  2. Step 2: Convert to fraction form
    11,169/12,609 = 12,609/x
  3. Step 3: Cross multiply
    11,169x = 12,609 × 12,609
  4. Step 4: Simplify right side
    11,169x = 158,986,881
  5. Step 5: Solve for x
    x = 158,986,881/11,169
  6. Step 6: Final answer
    x = 14,234.66

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.