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Finding the Third Proportional to 200.23 and 434.09

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Solution

The third proportional to 200.23 and 434.09 is: 941.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.23 : 434.09 = 434.09 : x
  2. Step 2: Convert to fraction form
    200.23/434.09 = 434.09/x
  3. Step 3: Cross multiply
    200.23x = 434.09 × 434.09
  4. Step 4: Simplify right side
    200.23x = 188,433.78
  5. Step 5: Solve for x
    x = 188,433.78/200.23
  6. Step 6: Final answer
    x = 941.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.