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Finding the Third Proportional to 214.52 and 349.42

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Solution

The third proportional to 214.52 and 349.42 is: 569.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.52 : 349.42 = 349.42 : x
  2. Step 2: Convert to fraction form
    214.52/349.42 = 349.42/x
  3. Step 3: Cross multiply
    214.52x = 349.42 × 349.42
  4. Step 4: Simplify right side
    214.52x = 122,092.92
  5. Step 5: Solve for x
    x = 122,092.92/214.52
  6. Step 6: Final answer
    x = 569.14

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.