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Finding the Third Proportional to 142.88 and 214.97

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Solution

The third proportional to 142.88 and 214.97 is: 323.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.88 : 214.97 = 214.97 : x
  2. Step 2: Convert to fraction form
    142.88/214.97 = 214.97/x
  3. Step 3: Cross multiply
    142.88x = 214.97 × 214.97
  4. Step 4: Simplify right side
    142.88x = 46,211.56
  5. Step 5: Solve for x
    x = 46,211.56/142.88
  6. Step 6: Final answer
    x = 323.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.