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Finding the Third Proportional to 214.25 and 303.34

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Solution

The third proportional to 214.25 and 303.34 is: 429.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.25 : 303.34 = 303.34 : x
  2. Step 2: Convert to fraction form
    214.25/303.34 = 303.34/x
  3. Step 3: Cross multiply
    214.25x = 303.34 × 303.34
  4. Step 4: Simplify right side
    214.25x = 92,017.43
  5. Step 5: Solve for x
    x = 92,017.43/214.25
  6. Step 6: Final answer
    x = 429.49

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.