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Finding the Third Proportional to 8,400 and 12,176

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Solution

The third proportional to 8,400 and 12,176 is: 17,649.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,400 : 12,176 = 12,176 : x
  2. Step 2: Convert to fraction form
    8,400/12,176 = 12,176/x
  3. Step 3: Cross multiply
    8,400x = 12,176 × 12,176
  4. Step 4: Simplify right side
    8,400x = 148,254,976
  5. Step 5: Solve for x
    x = 148,254,976/8,400
  6. Step 6: Final answer
    x = 17,649.40

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.