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Finding the Third Proportional to 8,424 and 12,180.75

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Solution

The third proportional to 8,424 and 12,180.75 is: 17,612.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424 : 12,180.75 = 12,180.75 : x
  2. Step 2: Convert to fraction form
    8,424/12,180.75 = 12,180.75/x
  3. Step 3: Cross multiply
    8,424x = 12,180.75 × 12,180.75
  4. Step 4: Simplify right side
    8,424x = 148,370,670.56
  5. Step 5: Solve for x
    x = 148,370,670.56/8,424
  6. Step 6: Final answer
    x = 17,612.85

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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.