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Finding the Third Proportional to 6,631 and 13,909

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Solution

The third proportional to 6,631 and 13,909 is: 29,175.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,631 : 13,909 = 13,909 : x
  2. Step 2: Convert to fraction form
    6,631/13,909 = 13,909/x
  3. Step 3: Cross multiply
    6,631x = 13,909 × 13,909
  4. Step 4: Simplify right side
    6,631x = 193,460,281
  5. Step 5: Solve for x
    x = 193,460,281/6,631
  6. Step 6: Final answer
    x = 29,175.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.