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Finding the Third Proportional to 79.29 and 119.96

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Solution

The third proportional to 79.29 and 119.96 is: 181.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.29 : 119.96 = 119.96 : x
  2. Step 2: Convert to fraction form
    79.29/119.96 = 119.96/x
  3. Step 3: Cross multiply
    79.29x = 119.96 × 119.96
  4. Step 4: Simplify right side
    79.29x = 14,389.81
  5. Step 5: Solve for x
    x = 14,389.81/79.29
  6. Step 6: Final answer
    x = 181.48

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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.