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Finding the Third Proportional to 2,680 and 6,443

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Solution

The third proportional to 2,680 and 6,443 is: 15,489.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,680 : 6,443 = 6,443 : x
  2. Step 2: Convert to fraction form
    2,680/6,443 = 6,443/x
  3. Step 3: Cross multiply
    2,680x = 6,443 × 6,443
  4. Step 4: Simplify right side
    2,680x = 41,512,249
  5. Step 5: Solve for x
    x = 41,512,249/2,680
  6. Step 6: Final answer
    x = 15,489.65

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.