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Finding the Third Proportional to 8,774 and 13,609

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Solution

The third proportional to 8,774 and 13,609 is: 21,108.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,774 : 13,609 = 13,609 : x
  2. Step 2: Convert to fraction form
    8,774/13,609 = 13,609/x
  3. Step 3: Cross multiply
    8,774x = 13,609 × 13,609
  4. Step 4: Simplify right side
    8,774x = 185,204,881
  5. Step 5: Solve for x
    x = 185,204,881/8,774
  6. Step 6: Final answer
    x = 21,108.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.