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Finding the Third Proportional to 211.94 and 429.22

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Solution

The third proportional to 211.94 and 429.22 is: 869.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.94 : 429.22 = 429.22 : x
  2. Step 2: Convert to fraction form
    211.94/429.22 = 429.22/x
  3. Step 3: Cross multiply
    211.94x = 429.22 × 429.22
  4. Step 4: Simplify right side
    211.94x = 184,228.74
  5. Step 5: Solve for x
    x = 184,228.74/211.94
  6. Step 6: Final answer
    x = 869.26

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.