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Finding the Third Proportional to 81.99 and 178.93

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Solution

The third proportional to 81.99 and 178.93 is: 390.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.99 : 178.93 = 178.93 : x
  2. Step 2: Convert to fraction form
    81.99/178.93 = 178.93/x
  3. Step 3: Cross multiply
    81.99x = 178.93 × 178.93
  4. Step 4: Simplify right side
    81.99x = 32,015.13
  5. Step 5: Solve for x
    x = 32,015.13/81.99
  6. Step 6: Final answer
    x = 390.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.