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Finding the Third Proportional to 8,511 and 16,321

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Solution

The third proportional to 8,511 and 16,321 is: 31,297.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511 : 16,321 = 16,321 : x
  2. Step 2: Convert to fraction form
    8,511/16,321 = 16,321/x
  3. Step 3: Cross multiply
    8,511x = 16,321 × 16,321
  4. Step 4: Simplify right side
    8,511x = 266,375,041
  5. Step 5: Solve for x
    x = 266,375,041/8,511
  6. Step 6: Final answer
    x = 31,297.74

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.