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Finding the Third Proportional to 215,820 and 440,205

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Solution

The third proportional to 215,820 and 440,205 is: 897,879.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,820 : 440,205 = 440,205 : x
  2. Step 2: Convert to fraction form
    215,820/440,205 = 440,205/x
  3. Step 3: Cross multiply
    215,820x = 440,205 × 440,205
  4. Step 4: Simplify right side
    215,820x = 193,780,442,025
  5. Step 5: Solve for x
    x = 193,780,442,025/215,820
  6. Step 6: Final answer
    x = 897,879.91

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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.