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Finding the Third Proportional to 205,922 and 451,210

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Solution

The third proportional to 205,922 and 451,210 is: 988,677.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,922 : 451,210 = 451,210 : x
  2. Step 2: Convert to fraction form
    205,922/451,210 = 451,210/x
  3. Step 3: Cross multiply
    205,922x = 451,210 × 451,210
  4. Step 4: Simplify right side
    205,922x = 203,590,464,100
  5. Step 5: Solve for x
    x = 203,590,464,100/205,922
  6. Step 6: Final answer
    x = 988,677.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.