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Finding the Third Proportional to 148,992 and 313,296

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Solution

The third proportional to 148,992 and 313,296 is: 658,789.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,992 : 313,296 = 313,296 : x
  2. Step 2: Convert to fraction form
    148,992/313,296 = 313,296/x
  3. Step 3: Cross multiply
    148,992x = 313,296 × 313,296
  4. Step 4: Simplify right side
    148,992x = 98,154,383,616
  5. Step 5: Solve for x
    x = 98,154,383,616/148,992
  6. Step 6: Final answer
    x = 658,789.62

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.