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Finding the Third Proportional to 84.64 and 125.46

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Solution

The third proportional to 84.64 and 125.46 is: 185.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.64 : 125.46 = 125.46 : x
  2. Step 2: Convert to fraction form
    84.64/125.46 = 125.46/x
  3. Step 3: Cross multiply
    84.64x = 125.46 × 125.46
  4. Step 4: Simplify right side
    84.64x = 15,738.98
  5. Step 5: Solve for x
    x = 15,738.98/84.64
  6. Step 6: Final answer
    x = 185.95

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.