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Finding the Third Proportional to 5,420 and 6,812

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Solution

The third proportional to 5,420 and 6,812 is: 8,561.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420 : 6,812 = 6,812 : x
  2. Step 2: Convert to fraction form
    5,420/6,812 = 6,812/x
  3. Step 3: Cross multiply
    5,420x = 6,812 × 6,812
  4. Step 4: Simplify right side
    5,420x = 46,403,344
  5. Step 5: Solve for x
    x = 46,403,344/5,420
  6. Step 6: Final answer
    x = 8,561.50

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.