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Finding the Third Proportional to 217,672.31 and 329,794.03

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Solution

The third proportional to 217,672.31 and 329,794.03 is: 499,668.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,672.31 : 329,794.03 = 329,794.03 : x
  2. Step 2: Convert to fraction form
    217,672.31/329,794.03 = 329,794.03/x
  3. Step 3: Cross multiply
    217,672.31x = 329,794.03 × 329,794.03
  4. Step 4: Simplify right side
    217,672.31x = 108,764,103,048.13
  5. Step 5: Solve for x
    x = 108,764,103,048.13/217,672.31
  6. Step 6: Final answer
    x = 499,668.98

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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.