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Finding the Third Proportional to 81.50 and 175.75

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Solution

The third proportional to 81.50 and 175.75 is: 378.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.50 : 175.75 = 175.75 : x
  2. Step 2: Convert to fraction form
    81.50/175.75 = 175.75/x
  3. Step 3: Cross multiply
    81.50x = 175.75 × 175.75
  4. Step 4: Simplify right side
    81.50x = 30,888.06
  5. Step 5: Solve for x
    x = 30,888.06/81.50
  6. Step 6: Final answer
    x = 378.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.