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Finding the Third Proportional to 193,485 and 298,980

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Solution

The third proportional to 193,485 and 298,980 is: 461,994.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,485 : 298,980 = 298,980 : x
  2. Step 2: Convert to fraction form
    193,485/298,980 = 298,980/x
  3. Step 3: Cross multiply
    193,485x = 298,980 × 298,980
  4. Step 4: Simplify right side
    193,485x = 89,389,040,400
  5. Step 5: Solve for x
    x = 89,389,040,400/193,485
  6. Step 6: Final answer
    x = 461,994.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.