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Finding the Third Proportional to 204,578 and 444,567

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Solution

The third proportional to 204,578 and 444,567 is: 966,085.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,578 : 444,567 = 444,567 : x
  2. Step 2: Convert to fraction form
    204,578/444,567 = 444,567/x
  3. Step 3: Cross multiply
    204,578x = 444,567 × 444,567
  4. Step 4: Simplify right side
    204,578x = 197,639,817,489
  5. Step 5: Solve for x
    x = 197,639,817,489/204,578
  6. Step 6: Final answer
    x = 966,085.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.