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Finding the Third Proportional to 200.29 and 451.09

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Solution

The third proportional to 200.29 and 451.09 is: 1,015.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.29 : 451.09 = 451.09 : x
  2. Step 2: Convert to fraction form
    200.29/451.09 = 451.09/x
  3. Step 3: Cross multiply
    200.29x = 451.09 × 451.09
  4. Step 4: Simplify right side
    200.29x = 203,482.05
  5. Step 5: Solve for x
    x = 203,482.05/200.29
  6. Step 6: Final answer
    x = 1,015.96

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.