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Finding the Third Proportional to 211,900 and 441,224

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Solution

The third proportional to 211,900 and 441,224 is: 918,728.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,900 : 441,224 = 441,224 : x
  2. Step 2: Convert to fraction form
    211,900/441,224 = 441,224/x
  3. Step 3: Cross multiply
    211,900x = 441,224 × 441,224
  4. Step 4: Simplify right side
    211,900x = 194,678,618,176
  5. Step 5: Solve for x
    x = 194,678,618,176/211,900
  6. Step 6: Final answer
    x = 918,728.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.