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Finding the Third Proportional to 206,802 and 426,536

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Solution

The third proportional to 206,802 and 426,536 is: 879,744.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,802 : 426,536 = 426,536 : x
  2. Step 2: Convert to fraction form
    206,802/426,536 = 426,536/x
  3. Step 3: Cross multiply
    206,802x = 426,536 × 426,536
  4. Step 4: Simplify right side
    206,802x = 181,932,959,296
  5. Step 5: Solve for x
    x = 181,932,959,296/206,802
  6. Step 6: Final answer
    x = 879,744.68

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.