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Finding the Third Proportional to 6,840 and 7,480

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Solution

The third proportional to 6,840 and 7,480 is: 8,179.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840 : 7,480 = 7,480 : x
  2. Step 2: Convert to fraction form
    6,840/7,480 = 7,480/x
  3. Step 3: Cross multiply
    6,840x = 7,480 × 7,480
  4. Step 4: Simplify right side
    6,840x = 55,950,400
  5. Step 5: Solve for x
    x = 55,950,400/6,840
  6. Step 6: Final answer
    x = 8,179.88

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.