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Finding the Third Proportional to 200.25 and 351.56

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Solution

The third proportional to 200.25 and 351.56 is: 617.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.25 : 351.56 = 351.56 : x
  2. Step 2: Convert to fraction form
    200.25/351.56 = 351.56/x
  3. Step 3: Cross multiply
    200.25x = 351.56 × 351.56
  4. Step 4: Simplify right side
    200.25x = 123,596.19
  5. Step 5: Solve for x
    x = 123,596.19/200.25
  6. Step 6: Final answer
    x = 617.21

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.