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Finding the Third Proportional to 179.78 and 187.80

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Solution

The third proportional to 179.78 and 187.80 is: 196.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.78 : 187.80 = 187.80 : x
  2. Step 2: Convert to fraction form
    179.78/187.80 = 187.80/x
  3. Step 3: Cross multiply
    179.78x = 187.80 × 187.80
  4. Step 4: Simplify right side
    179.78x = 35,270.01
  5. Step 5: Solve for x
    x = 35,270.01/179.78
  6. Step 6: Final answer
    x = 196.19

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Why These Related Problems?

These problems maintain the same ratio (1.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.