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Finding the Third Proportional to 155,976 and 343,728

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Solution

The third proportional to 155,976 and 343,728 is: 757,481.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,976 : 343,728 = 343,728 : x
  2. Step 2: Convert to fraction form
    155,976/343,728 = 343,728/x
  3. Step 3: Cross multiply
    155,976x = 343,728 × 343,728
  4. Step 4: Simplify right side
    155,976x = 118,148,937,984
  5. Step 5: Solve for x
    x = 118,148,937,984/155,976
  6. Step 6: Final answer
    x = 757,481.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.