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Finding the Third Proportional to 205,116 and 445,206

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Solution

The third proportional to 205,116 and 445,206 is: 966,323.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,116 : 445,206 = 445,206 : x
  2. Step 2: Convert to fraction form
    205,116/445,206 = 445,206/x
  3. Step 3: Cross multiply
    205,116x = 445,206 × 445,206
  4. Step 4: Simplify right side
    205,116x = 198,208,382,436
  5. Step 5: Solve for x
    x = 198,208,382,436/205,116
  6. Step 6: Final answer
    x = 966,323.36

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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.