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Finding the Third Proportional to 6,427 and 7,390

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Solution

The third proportional to 6,427 and 7,390 is: 8,497.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427 : 7,390 = 7,390 : x
  2. Step 2: Convert to fraction form
    6,427/7,390 = 7,390/x
  3. Step 3: Cross multiply
    6,427x = 7,390 × 7,390
  4. Step 4: Simplify right side
    6,427x = 54,612,100
  5. Step 5: Solve for x
    x = 54,612,100/6,427
  6. Step 6: Final answer
    x = 8,497.29

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.