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Finding the Third Proportional to 215,782 and 440,128

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Solution

The third proportional to 215,782 and 440,128 is: 897,723.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,782 : 440,128 = 440,128 : x
  2. Step 2: Convert to fraction form
    215,782/440,128 = 440,128/x
  3. Step 3: Cross multiply
    215,782x = 440,128 × 440,128
  4. Step 4: Simplify right side
    215,782x = 193,712,656,384
  5. Step 5: Solve for x
    x = 193,712,656,384/215,782
  6. Step 6: Final answer
    x = 897,723.89

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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.