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Finding the Third Proportional to 8,309 and 17,311

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Solution

The third proportional to 8,309 and 17,311 is: 36,065.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309 : 17,311 = 17,311 : x
  2. Step 2: Convert to fraction form
    8,309/17,311 = 17,311/x
  3. Step 3: Cross multiply
    8,309x = 17,311 × 17,311
  4. Step 4: Simplify right side
    8,309x = 299,670,721
  5. Step 5: Solve for x
    x = 299,670,721/8,309
  6. Step 6: Final answer
    x = 36,065.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.