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Finding the Third Proportional to 211.57 and 433.42

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Solution

The third proportional to 211.57 and 433.42 is: 887.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.57 : 433.42 = 433.42 : x
  2. Step 2: Convert to fraction form
    211.57/433.42 = 433.42/x
  3. Step 3: Cross multiply
    211.57x = 433.42 × 433.42
  4. Step 4: Simplify right side
    211.57x = 187,856.21
  5. Step 5: Solve for x
    x = 187,856.21/211.57
  6. Step 6: Final answer
    x = 887.91

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.