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Finding the Third Proportional to 217,811.25 and 330,000.75

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Solution

The third proportional to 217,811.25 and 330,000.75 is: 499,976.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,811.25 : 330,000.75 = 330,000.75 : x
  2. Step 2: Convert to fraction form
    217,811.25/330,000.75 = 330,000.75/x
  3. Step 3: Cross multiply
    217,811.25x = 330,000.75 × 330,000.75
  4. Step 4: Simplify right side
    217,811.25x = 108,900,495,000.56
  5. Step 5: Solve for x
    x = 108,900,495,000.56/217,811.25
  6. Step 6: Final answer
    x = 499,976.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.