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Finding the Third Proportional to 205,596 and 450,558

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Solution

The third proportional to 205,596 and 450,558 is: 987,385.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,596 : 450,558 = 450,558 : x
  2. Step 2: Convert to fraction form
    205,596/450,558 = 450,558/x
  3. Step 3: Cross multiply
    205,596x = 450,558 × 450,558
  4. Step 4: Simplify right side
    205,596x = 203,002,511,364
  5. Step 5: Solve for x
    x = 203,002,511,364/205,596
  6. Step 6: Final answer
    x = 987,385.51

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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.