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Finding the Third Proportional to 217,972 and 333,296

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Solution

The third proportional to 217,972 and 333,296 is: 509,635.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,972 : 333,296 = 333,296 : x
  2. Step 2: Convert to fraction form
    217,972/333,296 = 333,296/x
  3. Step 3: Cross multiply
    217,972x = 333,296 × 333,296
  4. Step 4: Simplify right side
    217,972x = 111,086,223,616
  5. Step 5: Solve for x
    x = 111,086,223,616/217,972
  6. Step 6: Final answer
    x = 509,635.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.