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Finding the Third Proportional to 8,291 and 16,159

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Solution

The third proportional to 8,291 and 16,159 is: 31,493.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291 : 16,159 = 16,159 : x
  2. Step 2: Convert to fraction form
    8,291/16,159 = 16,159/x
  3. Step 3: Cross multiply
    8,291x = 16,159 × 16,159
  4. Step 4: Simplify right side
    8,291x = 261,113,281
  5. Step 5: Solve for x
    x = 261,113,281/8,291
  6. Step 6: Final answer
    x = 31,493.58

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.