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Finding the Third Proportional to 217,455 and 441,057

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Solution

The third proportional to 217,455 and 441,057 is: 894,581.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,455 : 441,057 = 441,057 : x
  2. Step 2: Convert to fraction form
    217,455/441,057 = 441,057/x
  3. Step 3: Cross multiply
    217,455x = 441,057 × 441,057
  4. Step 4: Simplify right side
    217,455x = 194,531,277,249
  5. Step 5: Solve for x
    x = 194,531,277,249/217,455
  6. Step 6: Final answer
    x = 894,581.76

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.