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Finding the Third Proportional to 214.52 and 329.38

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Solution

The third proportional to 214.52 and 329.38 is: 505.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.52 : 329.38 = 329.38 : x
  2. Step 2: Convert to fraction form
    214.52/329.38 = 329.38/x
  3. Step 3: Cross multiply
    214.52x = 329.38 × 329.38
  4. Step 4: Simplify right side
    214.52x = 108,490.46
  5. Step 5: Solve for x
    x = 108,490.46/214.52
  6. Step 6: Final answer
    x = 505.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.