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Finding the Third Proportional to 8,380.97 and 18,219.94

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Solution

The third proportional to 8,380.97 and 18,219.94 is: 39,609.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.97 : 18,219.94 = 18,219.94 : x
  2. Step 2: Convert to fraction form
    8,380.97/18,219.94 = 18,219.94/x
  3. Step 3: Cross multiply
    8,380.97x = 18,219.94 × 18,219.94
  4. Step 4: Simplify right side
    8,380.97x = 331,966,122.50
  5. Step 5: Solve for x
    x = 331,966,122.50/8,380.97
  6. Step 6: Final answer
    x = 39,609.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.