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Finding the Third Proportional to 142.17 and 217.34

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Solution

The third proportional to 142.17 and 217.34 is: 332.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.17 : 217.34 = 217.34 : x
  2. Step 2: Convert to fraction form
    142.17/217.34 = 217.34/x
  3. Step 3: Cross multiply
    142.17x = 217.34 × 217.34
  4. Step 4: Simplify right side
    142.17x = 47,234.91
  5. Step 5: Solve for x
    x = 47,234.91/142.17
  6. Step 6: Final answer
    x = 332.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.