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Finding the Third Proportional to 135,816 and 203,980

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Solution

The third proportional to 135,816 and 203,980 is: 306,354.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,816 : 203,980 = 203,980 : x
  2. Step 2: Convert to fraction form
    135,816/203,980 = 203,980/x
  3. Step 3: Cross multiply
    135,816x = 203,980 × 203,980
  4. Step 4: Simplify right side
    135,816x = 41,607,840,400
  5. Step 5: Solve for x
    x = 41,607,840,400/135,816
  6. Step 6: Final answer
    x = 306,354.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.