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Finding the Third Proportional to 205,209 and 327,818

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Solution

The third proportional to 205,209 and 327,818 is: 523,683.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,209 : 327,818 = 327,818 : x
  2. Step 2: Convert to fraction form
    205,209/327,818 = 327,818/x
  3. Step 3: Cross multiply
    205,209x = 327,818 × 327,818
  4. Step 4: Simplify right side
    205,209x = 107,464,641,124
  5. Step 5: Solve for x
    x = 107,464,641,124/205,209
  6. Step 6: Final answer
    x = 523,683.86

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.