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Finding the Third Proportional to 213,952.50 and 331,296.75

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Solution

The third proportional to 213,952.50 and 331,296.75 is: 512,999.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,952.50 : 331,296.75 = 331,296.75 : x
  2. Step 2: Convert to fraction form
    213,952.50/331,296.75 = 331,296.75/x
  3. Step 3: Cross multiply
    213,952.50x = 331,296.75 × 331,296.75
  4. Step 4: Simplify right side
    213,952.50x = 109,757,536,560.56
  5. Step 5: Solve for x
    x = 109,757,536,560.56/213,952.50
  6. Step 6: Final answer
    x = 512,999.55

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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.