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Finding the Third Proportional to 76.44 and 129.84

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Solution

The third proportional to 76.44 and 129.84 is: 220.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.44 : 129.84 = 129.84 : x
  2. Step 2: Convert to fraction form
    76.44/129.84 = 129.84/x
  3. Step 3: Cross multiply
    76.44x = 129.84 × 129.84
  4. Step 4: Simplify right side
    76.44x = 16,859.40
  5. Step 5: Solve for x
    x = 16,859.40/76.44
  6. Step 6: Final answer
    x = 220.56

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.