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Finding the Third Proportional to 206,421 and 443,359

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Solution

The third proportional to 206,421 and 443,359 is: 952,263.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,421 : 443,359 = 443,359 : x
  2. Step 2: Convert to fraction form
    206,421/443,359 = 443,359/x
  3. Step 3: Cross multiply
    206,421x = 443,359 × 443,359
  4. Step 4: Simplify right side
    206,421x = 196,567,202,881
  5. Step 5: Solve for x
    x = 196,567,202,881/206,421
  6. Step 6: Final answer
    x = 952,263.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.