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Finding the Third Proportional to 205,108 and 445,208

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Solution

The third proportional to 205,108 and 445,208 is: 966,369.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,108 : 445,208 = 445,208 : x
  2. Step 2: Convert to fraction form
    205,108/445,208 = 445,208/x
  3. Step 3: Cross multiply
    205,108x = 445,208 × 445,208
  4. Step 4: Simplify right side
    205,108x = 198,210,163,264
  5. Step 5: Solve for x
    x = 198,210,163,264/205,108
  6. Step 6: Final answer
    x = 966,369.73

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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.