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Finding the Third Proportional to 327,888 and 676,220

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Solution

The third proportional to 327,888 and 676,220 is: 1,394,602.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,888 : 676,220 = 676,220 : x
  2. Step 2: Convert to fraction form
    327,888/676,220 = 676,220/x
  3. Step 3: Cross multiply
    327,888x = 676,220 × 676,220
  4. Step 4: Simplify right side
    327,888x = 457,273,488,400
  5. Step 5: Solve for x
    x = 457,273,488,400/327,888
  6. Step 6: Final answer
    x = 1,394,602.69

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.