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Finding the Third Proportional to 71.34 and 107.34

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Solution

The third proportional to 71.34 and 107.34 is: 161.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.34 : 107.34 = 107.34 : x
  2. Step 2: Convert to fraction form
    71.34/107.34 = 107.34/x
  3. Step 3: Cross multiply
    71.34x = 107.34 × 107.34
  4. Step 4: Simplify right side
    71.34x = 11,522.68
  5. Step 5: Solve for x
    x = 11,522.68/71.34
  6. Step 6: Final answer
    x = 161.51

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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.