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Finding the Third Proportional to 200.31 and 433.56

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Solution

The third proportional to 200.31 and 433.56 is: 938.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.31 : 433.56 = 433.56 : x
  2. Step 2: Convert to fraction form
    200.31/433.56 = 433.56/x
  3. Step 3: Cross multiply
    200.31x = 433.56 × 433.56
  4. Step 4: Simplify right side
    200.31x = 187,976.44
  5. Step 5: Solve for x
    x = 187,976.44/200.31
  6. Step 6: Final answer
    x = 938.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.