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Finding the Third Proportional to 205,274 and 426,874

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Solution

The third proportional to 205,274 and 426,874 is: 887,698.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,274 : 426,874 = 426,874 : x
  2. Step 2: Convert to fraction form
    205,274/426,874 = 426,874/x
  3. Step 3: Cross multiply
    205,274x = 426,874 × 426,874
  4. Step 4: Simplify right side
    205,274x = 182,221,411,876
  5. Step 5: Solve for x
    x = 182,221,411,876/205,274
  6. Step 6: Final answer
    x = 887,698.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.