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Finding the Third Proportional to 216,021 and 445,857

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Solution

The third proportional to 216,021 and 445,857 is: 920,227.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,021 : 445,857 = 445,857 : x
  2. Step 2: Convert to fraction form
    216,021/445,857 = 445,857/x
  3. Step 3: Cross multiply
    216,021x = 445,857 × 445,857
  4. Step 4: Simplify right side
    216,021x = 198,788,464,449
  5. Step 5: Solve for x
    x = 198,788,464,449/216,021
  6. Step 6: Final answer
    x = 920,227.50

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.