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Finding the Third Proportional to 209,856 and 327,336

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Solution

The third proportional to 209,856 and 327,336 is: 510,582.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,856 : 327,336 = 327,336 : x
  2. Step 2: Convert to fraction form
    209,856/327,336 = 327,336/x
  3. Step 3: Cross multiply
    209,856x = 327,336 × 327,336
  4. Step 4: Simplify right side
    209,856x = 107,148,856,896
  5. Step 5: Solve for x
    x = 107,148,856,896/209,856
  6. Step 6: Final answer
    x = 510,582.77

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.