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Finding the Third Proportional to 79.00 and 173.18

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Solution

The third proportional to 79.00 and 173.18 is: 379.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.00 : 173.18 = 173.18 : x
  2. Step 2: Convert to fraction form
    79.00/173.18 = 173.18/x
  3. Step 3: Cross multiply
    79.00x = 173.18 × 173.18
  4. Step 4: Simplify right side
    79.00x = 29,991.20
  5. Step 5: Solve for x
    x = 29,991.20/79.00
  6. Step 6: Final answer
    x = 379.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.