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Finding the Third Proportional to 7,124 and 11,386

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Solution

The third proportional to 7,124 and 11,386 is: 18,197.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124 : 11,386 = 11,386 : x
  2. Step 2: Convert to fraction form
    7,124/11,386 = 11,386/x
  3. Step 3: Cross multiply
    7,124x = 11,386 × 11,386
  4. Step 4: Simplify right side
    7,124x = 129,640,996
  5. Step 5: Solve for x
    x = 129,640,996/7,124
  6. Step 6: Final answer
    x = 18,197.78

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.