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Finding the Third Proportional to 8,239 and 19,440.75

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Solution

The third proportional to 8,239 and 19,440.75 is: 45,872.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239 : 19,440.75 = 19,440.75 : x
  2. Step 2: Convert to fraction form
    8,239/19,440.75 = 19,440.75/x
  3. Step 3: Cross multiply
    8,239x = 19,440.75 × 19,440.75
  4. Step 4: Simplify right side
    8,239x = 377,942,760.56
  5. Step 5: Solve for x
    x = 377,942,760.56/8,239
  6. Step 6: Final answer
    x = 45,872.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.