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Finding the Third Proportional to 8,408 and 11,786

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Solution

The third proportional to 8,408 and 11,786 is: 16,521.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408 : 11,786 = 11,786 : x
  2. Step 2: Convert to fraction form
    8,408/11,786 = 11,786/x
  3. Step 3: Cross multiply
    8,408x = 11,786 × 11,786
  4. Step 4: Simplify right side
    8,408x = 138,909,796
  5. Step 5: Solve for x
    x = 138,909,796/8,408
  6. Step 6: Final answer
    x = 16,521.15

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.