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Finding the Third Proportional to 206,976 and 312,192

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Solution

The third proportional to 206,976 and 312,192 is: 470,894.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,976 : 312,192 = 312,192 : x
  2. Step 2: Convert to fraction form
    206,976/312,192 = 312,192/x
  3. Step 3: Cross multiply
    206,976x = 312,192 × 312,192
  4. Step 4: Simplify right side
    206,976x = 97,463,844,864
  5. Step 5: Solve for x
    x = 97,463,844,864/206,976
  6. Step 6: Final answer
    x = 470,894.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.