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Finding the Third Proportional to 200.34 and 434.91

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Solution

The third proportional to 200.34 and 434.91 is: 944.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.34 : 434.91 = 434.91 : x
  2. Step 2: Convert to fraction form
    200.34/434.91 = 434.91/x
  3. Step 3: Cross multiply
    200.34x = 434.91 × 434.91
  4. Step 4: Simplify right side
    200.34x = 189,143.45
  5. Step 5: Solve for x
    x = 189,143.45/200.34
  6. Step 6: Final answer
    x = 944.09

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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.