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Finding the Third Proportional to 154,980 and 339,462

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Solution

The third proportional to 154,980 and 339,462 is: 743,544.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,980 : 339,462 = 339,462 : x
  2. Step 2: Convert to fraction form
    154,980/339,462 = 339,462/x
  3. Step 3: Cross multiply
    154,980x = 339,462 × 339,462
  4. Step 4: Simplify right side
    154,980x = 115,234,449,444
  5. Step 5: Solve for x
    x = 115,234,449,444/154,980
  6. Step 6: Final answer
    x = 743,544.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.