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Finding the Third Proportional to 8,339 and 9,239

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Solution

The third proportional to 8,339 and 9,239 is: 10,236.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,339 : 9,239 = 9,239 : x
  2. Step 2: Convert to fraction form
    8,339/9,239 = 9,239/x
  3. Step 3: Cross multiply
    8,339x = 9,239 × 9,239
  4. Step 4: Simplify right side
    8,339x = 85,359,121
  5. Step 5: Solve for x
    x = 85,359,121/8,339
  6. Step 6: Final answer
    x = 10,236.13

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.