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Finding the Third Proportional to 213,969 and 330,975

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Solution

The third proportional to 213,969 and 330,975 is: 511,964.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,969 : 330,975 = 330,975 : x
  2. Step 2: Convert to fraction form
    213,969/330,975 = 330,975/x
  3. Step 3: Cross multiply
    213,969x = 330,975 × 330,975
  4. Step 4: Simplify right side
    213,969x = 109,544,450,625
  5. Step 5: Solve for x
    x = 109,544,450,625/213,969
  6. Step 6: Final answer
    x = 511,964.12

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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.