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Finding the Third Proportional to 5,138 and 7,611

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Solution

The third proportional to 5,138 and 7,611 is: 11,274.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138 : 7,611 = 7,611 : x
  2. Step 2: Convert to fraction form
    5,138/7,611 = 7,611/x
  3. Step 3: Cross multiply
    5,138x = 7,611 × 7,611
  4. Step 4: Simplify right side
    5,138x = 57,927,321
  5. Step 5: Solve for x
    x = 57,927,321/5,138
  6. Step 6: Final answer
    x = 11,274.29

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.