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Finding the Third Proportional to 217,831 and 455,609

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Solution

The third proportional to 217,831 and 455,609 is: 952,938.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,831 : 455,609 = 455,609 : x
  2. Step 2: Convert to fraction form
    217,831/455,609 = 455,609/x
  3. Step 3: Cross multiply
    217,831x = 455,609 × 455,609
  4. Step 4: Simplify right side
    217,831x = 207,579,560,881
  5. Step 5: Solve for x
    x = 207,579,560,881/217,831
  6. Step 6: Final answer
    x = 952,938.57

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.