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Finding the Third Proportional to 8,343 and 11,237

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Solution

The third proportional to 8,343 and 11,237 is: 15,134.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,343 : 11,237 = 11,237 : x
  2. Step 2: Convert to fraction form
    8,343/11,237 = 11,237/x
  3. Step 3: Cross multiply
    8,343x = 11,237 × 11,237
  4. Step 4: Simplify right side
    8,343x = 126,270,169
  5. Step 5: Solve for x
    x = 126,270,169/8,343
  6. Step 6: Final answer
    x = 15,134.86

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.