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Finding the Third Proportional to 5,431 and 7,379

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Solution

The third proportional to 5,431 and 7,379 is: 10,025.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,431 : 7,379 = 7,379 : x
  2. Step 2: Convert to fraction form
    5,431/7,379 = 7,379/x
  3. Step 3: Cross multiply
    5,431x = 7,379 × 7,379
  4. Step 4: Simplify right side
    5,431x = 54,449,641
  5. Step 5: Solve for x
    x = 54,449,641/5,431
  6. Step 6: Final answer
    x = 10,025.71

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.