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Finding the Third Proportional to 6,680 and 11,902

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Solution

The third proportional to 6,680 and 11,902 is: 21,206.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680 : 11,902 = 11,902 : x
  2. Step 2: Convert to fraction form
    6,680/11,902 = 11,902/x
  3. Step 3: Cross multiply
    6,680x = 11,902 × 11,902
  4. Step 4: Simplify right side
    6,680x = 141,657,604
  5. Step 5: Solve for x
    x = 141,657,604/6,680
  6. Step 6: Final answer
    x = 21,206.23

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.