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Finding the Third Proportional to 84.05 and 181.22

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Solution

The third proportional to 84.05 and 181.22 is: 390.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.05 : 181.22 = 181.22 : x
  2. Step 2: Convert to fraction form
    84.05/181.22 = 181.22/x
  3. Step 3: Cross multiply
    84.05x = 181.22 × 181.22
  4. Step 4: Simplify right side
    84.05x = 32,840.24
  5. Step 5: Solve for x
    x = 32,840.24/84.05
  6. Step 6: Final answer
    x = 390.74

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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.