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Finding the Third Proportional to 84.19 and 134.72

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Solution

The third proportional to 84.19 and 134.72 is: 215.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.19 : 134.72 = 134.72 : x
  2. Step 2: Convert to fraction form
    84.19/134.72 = 134.72/x
  3. Step 3: Cross multiply
    84.19x = 134.72 × 134.72
  4. Step 4: Simplify right side
    84.19x = 18,149.14
  5. Step 5: Solve for x
    x = 18,149.14/84.19
  6. Step 6: Final answer
    x = 215.58

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.