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Finding the Third Proportional to 200,862 and 285,555

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Solution

The third proportional to 200,862 and 285,555 is: 405,958.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,862 : 285,555 = 285,555 : x
  2. Step 2: Convert to fraction form
    200,862/285,555 = 285,555/x
  3. Step 3: Cross multiply
    200,862x = 285,555 × 285,555
  4. Step 4: Simplify right side
    200,862x = 81,541,658,025
  5. Step 5: Solve for x
    x = 81,541,658,025/200,862
  6. Step 6: Final answer
    x = 405,958.61

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.