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Finding the Third Proportional to 215,424 and 441,296

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Solution

The third proportional to 215,424 and 441,296 is: 903,994.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,424 : 441,296 = 441,296 : x
  2. Step 2: Convert to fraction form
    215,424/441,296 = 441,296/x
  3. Step 3: Cross multiply
    215,424x = 441,296 × 441,296
  4. Step 4: Simplify right side
    215,424x = 194,742,159,616
  5. Step 5: Solve for x
    x = 194,742,159,616/215,424
  6. Step 6: Final answer
    x = 903,994.72

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.