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Finding the Third Proportional to 8,184 and 11,596

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Solution

The third proportional to 8,184 and 11,596 is: 16,430.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184 : 11,596 = 11,596 : x
  2. Step 2: Convert to fraction form
    8,184/11,596 = 11,596/x
  3. Step 3: Cross multiply
    8,184x = 11,596 × 11,596
  4. Step 4: Simplify right side
    8,184x = 134,467,216
  5. Step 5: Solve for x
    x = 134,467,216/8,184
  6. Step 6: Final answer
    x = 16,430.50

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.