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Finding the Third Proportional to 204.25 and 433.63

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Solution

The third proportional to 204.25 and 433.63 is: 920.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.25 : 433.63 = 433.63 : x
  2. Step 2: Convert to fraction form
    204.25/433.63 = 433.63/x
  3. Step 3: Cross multiply
    204.25x = 433.63 × 433.63
  4. Step 4: Simplify right side
    204.25x = 188,030.64
  5. Step 5: Solve for x
    x = 188,030.64/204.25
  6. Step 6: Final answer
    x = 920.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.