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Finding the Third Proportional to 217,695 and 329,826

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Solution

The third proportional to 217,695 and 329,826 is: 499,713.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,695 : 329,826 = 329,826 : x
  2. Step 2: Convert to fraction form
    217,695/329,826 = 329,826/x
  3. Step 3: Cross multiply
    217,695x = 329,826 × 329,826
  4. Step 4: Simplify right side
    217,695x = 108,785,190,276
  5. Step 5: Solve for x
    x = 108,785,190,276/217,695
  6. Step 6: Final answer
    x = 499,713.78

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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.