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Finding the Third Proportional to 8,409.45 and 18,200.32

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Solution

The third proportional to 8,409.45 and 18,200.32 is: 39,390.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.45 : 18,200.32 = 18,200.32 : x
  2. Step 2: Convert to fraction form
    8,409.45/18,200.32 = 18,200.32/x
  3. Step 3: Cross multiply
    8,409.45x = 18,200.32 × 18,200.32
  4. Step 4: Simplify right side
    8,409.45x = 331,251,659.48
  5. Step 5: Solve for x
    x = 331,251,659.48/8,409.45
  6. Step 6: Final answer
    x = 39,390.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.