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Finding the Third Proportional to 219,055 and 329,555

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Solution

The third proportional to 219,055 and 329,555 is: 495,795.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,055 : 329,555 = 329,555 : x
  2. Step 2: Convert to fraction form
    219,055/329,555 = 329,555/x
  3. Step 3: Cross multiply
    219,055x = 329,555 × 329,555
  4. Step 4: Simplify right side
    219,055x = 108,606,498,025
  5. Step 5: Solve for x
    x = 108,606,498,025/219,055
  6. Step 6: Final answer
    x = 495,795.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.