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Finding the Third Proportional to 102,638 and 213,439

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Solution

The third proportional to 102,638 and 213,439 is: 443,853.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,638 : 213,439 = 213,439 : x
  2. Step 2: Convert to fraction form
    102,638/213,439 = 213,439/x
  3. Step 3: Cross multiply
    102,638x = 213,439 × 213,439
  4. Step 4: Simplify right side
    102,638x = 45,556,206,721
  5. Step 5: Solve for x
    x = 45,556,206,721/102,638
  6. Step 6: Final answer
    x = 443,853.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.