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Finding the Third Proportional to 177,940 and 209,311

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Solution

The third proportional to 177,940 and 209,311 is: 246,212.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,940 : 209,311 = 209,311 : x
  2. Step 2: Convert to fraction form
    177,940/209,311 = 209,311/x
  3. Step 3: Cross multiply
    177,940x = 209,311 × 209,311
  4. Step 4: Simplify right side
    177,940x = 43,811,094,721
  5. Step 5: Solve for x
    x = 43,811,094,721/177,940
  6. Step 6: Final answer
    x = 246,212.74

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.