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Finding the Third Proportional to 79.29 and 165.79

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Solution

The third proportional to 79.29 and 165.79 is: 346.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.29 : 165.79 = 165.79 : x
  2. Step 2: Convert to fraction form
    79.29/165.79 = 165.79/x
  3. Step 3: Cross multiply
    79.29x = 165.79 × 165.79
  4. Step 4: Simplify right side
    79.29x = 27,485.33
  5. Step 5: Solve for x
    x = 27,485.33/79.29
  6. Step 6: Final answer
    x = 346.65

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.