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Finding the Third Proportional to 200,839.50 and 285,525

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Solution

The third proportional to 200,839.50 and 285,525 is: 405,918.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,839.50 : 285,525 = 285,525 : x
  2. Step 2: Convert to fraction form
    200,839.50/285,525 = 285,525/x
  3. Step 3: Cross multiply
    200,839.50x = 285,525 × 285,525
  4. Step 4: Simplify right side
    200,839.50x = 81,524,525,625
  5. Step 5: Solve for x
    x = 81,524,525,625/200,839.50
  6. Step 6: Final answer
    x = 405,918.78

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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.