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Finding the Third Proportional to 79.73 and 173.00

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Solution

The third proportional to 79.73 and 173.00 is: 375.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.73 : 173.00 = 173.00 : x
  2. Step 2: Convert to fraction form
    79.73/173.00 = 173.00/x
  3. Step 3: Cross multiply
    79.73x = 173.00 × 173.00
  4. Step 4: Simplify right side
    79.73x = 29,927.31
  5. Step 5: Solve for x
    x = 29,927.31/79.73
  6. Step 6: Final answer
    x = 375.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.