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Finding the Third Proportional to 135,431.75 and 209,995

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Solution

The third proportional to 135,431.75 and 209,995 is: 325,609.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,431.75 : 209,995 = 209,995 : x
  2. Step 2: Convert to fraction form
    135,431.75/209,995 = 209,995/x
  3. Step 3: Cross multiply
    135,431.75x = 209,995 × 209,995
  4. Step 4: Simplify right side
    135,431.75x = 44,097,900,025
  5. Step 5: Solve for x
    x = 44,097,900,025/135,431.75
  6. Step 6: Final answer
    x = 325,609.76

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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.