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Finding the Third Proportional to 85,378 and 206,802

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Solution

The third proportional to 85,378 and 206,802 is: 500,914.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,378 : 206,802 = 206,802 : x
  2. Step 2: Convert to fraction form
    85,378/206,802 = 206,802/x
  3. Step 3: Cross multiply
    85,378x = 206,802 × 206,802
  4. Step 4: Simplify right side
    85,378x = 42,767,067,204
  5. Step 5: Solve for x
    x = 42,767,067,204/85,378
  6. Step 6: Final answer
    x = 500,914.37

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.