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Finding the Third Proportional to 215,809.50 and 440,187

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Solution

The third proportional to 215,809.50 and 440,187 is: 897,850.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,809.50 : 440,187 = 440,187 : x
  2. Step 2: Convert to fraction form
    215,809.50/440,187 = 440,187/x
  3. Step 3: Cross multiply
    215,809.50x = 440,187 × 440,187
  4. Step 4: Simplify right side
    215,809.50x = 193,764,594,969
  5. Step 5: Solve for x
    x = 193,764,594,969/215,809.50
  6. Step 6: Final answer
    x = 897,850.16

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.