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Finding the Third Proportional to 79.69 and 120.28

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Solution

The third proportional to 79.69 and 120.28 is: 181.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.69 : 120.28 = 120.28 : x
  2. Step 2: Convert to fraction form
    79.69/120.28 = 120.28/x
  3. Step 3: Cross multiply
    79.69x = 120.28 × 120.28
  4. Step 4: Simplify right side
    79.69x = 14,467.58
  5. Step 5: Solve for x
    x = 14,467.58/79.69
  6. Step 6: Final answer
    x = 181.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.