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Finding the Third Proportional to 217,827 and 333,149

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Solution

The third proportional to 217,827 and 333,149 is: 509,524.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,827 : 333,149 = 333,149 : x
  2. Step 2: Convert to fraction form
    217,827/333,149 = 333,149/x
  3. Step 3: Cross multiply
    217,827x = 333,149 × 333,149
  4. Step 4: Simplify right side
    217,827x = 110,988,256,201
  5. Step 5: Solve for x
    x = 110,988,256,201/217,827
  6. Step 6: Final answer
    x = 509,524.79

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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.